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Finding the Third Proportional to 458,045 and 602,327

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Solution

The third proportional to 458,045 and 602,327 is: 792,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,045 : 602,327 = 602,327 : x
  2. Step 2: Convert to fraction form
    458,045/602,327 = 602,327/x
  3. Step 3: Cross multiply
    458,045x = 602,327 × 602,327
  4. Step 4: Simplify right side
    458,045x = 362,797,814,929
  5. Step 5: Solve for x
    x = 362,797,814,929/458,045
  6. Step 6: Final answer
    x = 792,057.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.