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Finding the Third Proportional to 296,496 and 653,472

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Solution

The third proportional to 296,496 and 653,472 is: 1,440,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,496 : 653,472 = 653,472 : x
  2. Step 2: Convert to fraction form
    296,496/653,472 = 653,472/x
  3. Step 3: Cross multiply
    296,496x = 653,472 × 653,472
  4. Step 4: Simplify right side
    296,496x = 427,025,654,784
  5. Step 5: Solve for x
    x = 427,025,654,784/296,496
  6. Step 6: Final answer
    x = 1,440,240.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.