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Finding the Third Proportional to 356,976 and 573,948

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Solution

The third proportional to 356,976 and 573,948 is: 922,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,976 : 573,948 = 573,948 : x
  2. Step 2: Convert to fraction form
    356,976/573,948 = 573,948/x
  3. Step 3: Cross multiply
    356,976x = 573,948 × 573,948
  4. Step 4: Simplify right side
    356,976x = 329,416,306,704
  5. Step 5: Solve for x
    x = 329,416,306,704/356,976
  6. Step 6: Final answer
    x = 922,796.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.