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Finding the Third Proportional to 554,470.31 and 834,165.84

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Solution

The third proportional to 554,470.31 and 834,165.84 is: 1,254,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,470.31 : 834,165.84 = 834,165.84 : x
  2. Step 2: Convert to fraction form
    554,470.31/834,165.84 = 834,165.84/x
  3. Step 3: Cross multiply
    554,470.31x = 834,165.84 × 834,165.84
  4. Step 4: Simplify right side
    554,470.31x = 695,832,654,879.15
  5. Step 5: Solve for x
    x = 695,832,654,879.15/554,470.31
  6. Step 6: Final answer
    x = 1,254,950.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.