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Finding the Third Proportional to 453,988 and 687,294

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Solution

The third proportional to 453,988 and 687,294 is: 1,040,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,988 : 687,294 = 687,294 : x
  2. Step 2: Convert to fraction form
    453,988/687,294 = 687,294/x
  3. Step 3: Cross multiply
    453,988x = 687,294 × 687,294
  4. Step 4: Simplify right side
    453,988x = 472,373,042,436
  5. Step 5: Solve for x
    x = 472,373,042,436/453,988
  6. Step 6: Final answer
    x = 1,040,496.76

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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.