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Finding the Third Proportional to 602,217 and 901,327

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Solution

The third proportional to 602,217 and 901,327 is: 1,348,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,217 : 901,327 = 901,327 : x
  2. Step 2: Convert to fraction form
    602,217/901,327 = 901,327/x
  3. Step 3: Cross multiply
    602,217x = 901,327 × 901,327
  4. Step 4: Simplify right side
    602,217x = 812,390,360,929
  5. Step 5: Solve for x
    x = 812,390,360,929/602,217
  6. Step 6: Final answer
    x = 1,348,999.38

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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.