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Finding the Third Proportional to 454,746 and 688,463

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Solution

The third proportional to 454,746 and 688,463 is: 1,042,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,746 : 688,463 = 688,463 : x
  2. Step 2: Convert to fraction form
    454,746/688,463 = 688,463/x
  3. Step 3: Cross multiply
    454,746x = 688,463 × 688,463
  4. Step 4: Simplify right side
    454,746x = 473,981,302,369
  5. Step 5: Solve for x
    x = 473,981,302,369/454,746
  6. Step 6: Final answer
    x = 1,042,299.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.