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Finding the Third Proportional to 377,272.69 and 569,455.31

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Solution

The third proportional to 377,272.69 and 569,455.31 is: 859,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,272.69 : 569,455.31 = 569,455.31 : x
  2. Step 2: Convert to fraction form
    377,272.69/569,455.31 = 569,455.31/x
  3. Step 3: Cross multiply
    377,272.69x = 569,455.31 × 569,455.31
  4. Step 4: Simplify right side
    377,272.69x = 324,279,352,934.47
  5. Step 5: Solve for x
    x = 324,279,352,934.47/377,272.69
  6. Step 6: Final answer
    x = 859,535.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.