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Finding the Third Proportional to 644,695.88 and 872,449.31

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Solution

The third proportional to 644,695.88 and 872,449.31 is: 1,180,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,695.88 : 872,449.31 = 872,449.31 : x
  2. Step 2: Convert to fraction form
    644,695.88/872,449.31 = 872,449.31/x
  3. Step 3: Cross multiply
    644,695.88x = 872,449.31 × 872,449.31
  4. Step 4: Simplify right side
    644,695.88x = 761,167,802,881.72
  5. Step 5: Solve for x
    x = 761,167,802,881.72/644,695.88
  6. Step 6: Final answer
    x = 1,180,661.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.