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Finding the Third Proportional to 458,432 and 688,514

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Solution

The third proportional to 458,432 and 688,514 is: 1,034,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,432 : 688,514 = 688,514 : x
  2. Step 2: Convert to fraction form
    458,432/688,514 = 688,514/x
  3. Step 3: Cross multiply
    458,432x = 688,514 × 688,514
  4. Step 4: Simplify right side
    458,432x = 474,051,528,196
  5. Step 5: Solve for x
    x = 474,051,528,196/458,432
  6. Step 6: Final answer
    x = 1,034,071.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.