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Finding the Third Proportional to 340,492,518 and 708,159,793.50

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Solution

The third proportional to 340,492,518 and 708,159,793.50 is: 1,472,837,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,492,518 : 708,159,793.50 = 708,159,793.50 : x
  2. Step 2: Convert to fraction form
    340,492,518/708,159,793.50 = 708,159,793.50/x
  3. Step 3: Cross multiply
    340,492,518x = 708,159,793.50 × 708,159,793.50
  4. Step 4: Simplify right side
    340,492,518x = 501,490,293,129,962,624
  5. Step 5: Solve for x
    x = 501,490,293,129,962,624/340,492,518
  6. Step 6: Final answer
    x = 1,472,837,923.36

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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.