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Finding the Third Proportional to 205,594 and 317,729

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Solution

The third proportional to 205,594 and 317,729 is: 491,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,594 : 317,729 = 317,729 : x
  2. Step 2: Convert to fraction form
    205,594/317,729 = 317,729/x
  3. Step 3: Cross multiply
    205,594x = 317,729 × 317,729
  4. Step 4: Simplify right side
    205,594x = 100,951,717,441
  5. Step 5: Solve for x
    x = 100,951,717,441/205,594
  6. Step 6: Final answer
    x = 491,024.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.