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Finding the Third Proportional to 300,140 and 708,492

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Solution

The third proportional to 300,140 and 708,492 is: 1,672,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,140 : 708,492 = 708,492 : x
  2. Step 2: Convert to fraction form
    300,140/708,492 = 708,492/x
  3. Step 3: Cross multiply
    300,140x = 708,492 × 708,492
  4. Step 4: Simplify right side
    300,140x = 501,960,914,064
  5. Step 5: Solve for x
    x = 501,960,914,064/300,140
  6. Step 6: Final answer
    x = 1,672,422.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.