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Finding the Third Proportional to 369,032 and 471,552

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Solution

The third proportional to 369,032 and 471,552 is: 602,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,032 : 471,552 = 471,552 : x
  2. Step 2: Convert to fraction form
    369,032/471,552 = 471,552/x
  3. Step 3: Cross multiply
    369,032x = 471,552 × 471,552
  4. Step 4: Simplify right side
    369,032x = 222,361,288,704
  5. Step 5: Solve for x
    x = 222,361,288,704/369,032
  6. Step 6: Final answer
    x = 602,552.86

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.