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Finding the Third Proportional to 602,047.69 and 825,577.31

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Solution

The third proportional to 602,047.69 and 825,577.31 is: 1,132,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,047.69 : 825,577.31 = 825,577.31 : x
  2. Step 2: Convert to fraction form
    602,047.69/825,577.31 = 825,577.31/x
  3. Step 3: Cross multiply
    602,047.69x = 825,577.31 × 825,577.31
  4. Step 4: Simplify right side
    602,047.69x = 681,577,898,914.72
  5. Step 5: Solve for x
    x = 681,577,898,914.72/602,047.69
  6. Step 6: Final answer
    x = 1,132,099.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.