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Finding the Third Proportional to 340,492,504.50 and 708,159,766.50

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Solution

The third proportional to 340,492,504.50 and 708,159,766.50 is: 1,472,837,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,492,504.50 : 708,159,766.50 = 708,159,766.50 : x
  2. Step 2: Convert to fraction form
    340,492,504.50/708,159,766.50 = 708,159,766.50/x
  3. Step 3: Cross multiply
    340,492,504.50x = 708,159,766.50 × 708,159,766.50
  4. Step 4: Simplify right side
    340,492,504.50x = 501,490,254,889,334,528
  5. Step 5: Solve for x
    x = 501,490,254,889,334,528/340,492,504.50
  6. Step 6: Final answer
    x = 1,472,837,869.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.