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Finding the Third Proportional to 357,718 and 501,374

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Solution

The third proportional to 357,718 and 501,374 is: 702,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,718 : 501,374 = 501,374 : x
  2. Step 2: Convert to fraction form
    357,718/501,374 = 501,374/x
  3. Step 3: Cross multiply
    357,718x = 501,374 × 501,374
  4. Step 4: Simplify right side
    357,718x = 251,375,887,876
  5. Step 5: Solve for x
    x = 251,375,887,876/357,718
  6. Step 6: Final answer
    x = 702,720.82

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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.