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Finding the Third Proportional to 357,988 and 501,718

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Solution

The third proportional to 357,988 and 501,718 is: 703,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,988 : 501,718 = 501,718 : x
  2. Step 2: Convert to fraction form
    357,988/501,718 = 501,718/x
  3. Step 3: Cross multiply
    357,988x = 501,718 × 501,718
  4. Step 4: Simplify right side
    357,988x = 251,720,951,524
  5. Step 5: Solve for x
    x = 251,720,951,524/357,988
  6. Step 6: Final answer
    x = 703,154.72

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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.