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Finding the Third Proportional to 729,141.75 and 1,069,088.63

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Solution

The third proportional to 729,141.75 and 1,069,088.63 is: 1,567,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,141.75 : 1,069,088.63 = 1,069,088.63 : x
  2. Step 2: Convert to fraction form
    729,141.75/1,069,088.63 = 1,069,088.63/x
  3. Step 3: Cross multiply
    729,141.75x = 1,069,088.63 × 1,069,088.63
  4. Step 4: Simplify right side
    729,141.75x = 1,142,950,488,104.39
  5. Step 5: Solve for x
    x = 1,142,950,488,104.39/729,141.75
  6. Step 6: Final answer
    x = 1,567,528.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.