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Finding the Third Proportional to 377,077.78 and 527,458.08

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Solution

The third proportional to 377,077.78 and 527,458.08 is: 737,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,077.78 : 527,458.08 = 527,458.08 : x
  2. Step 2: Convert to fraction form
    377,077.78/527,458.08 = 527,458.08/x
  3. Step 3: Cross multiply
    377,077.78x = 527,458.08 × 527,458.08
  4. Step 4: Simplify right side
    377,077.78x = 278,212,024,179.32
  5. Step 5: Solve for x
    x = 278,212,024,179.32/377,077.78
  6. Step 6: Final answer
    x = 737,810.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.