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Finding the Third Proportional to 357,677 and 501,357

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Solution

The third proportional to 357,677 and 501,357 is: 702,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,677 : 501,357 = 501,357 : x
  2. Step 2: Convert to fraction form
    357,677/501,357 = 501,357/x
  3. Step 3: Cross multiply
    357,677x = 501,357 × 501,357
  4. Step 4: Simplify right side
    357,677x = 251,358,841,449
  5. Step 5: Solve for x
    x = 251,358,841,449/357,677
  6. Step 6: Final answer
    x = 702,753.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.