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Finding the Third Proportional to 605,290.69 and 904,705.31

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Solution

The third proportional to 605,290.69 and 904,705.31 is: 1,352,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,290.69 : 904,705.31 = 904,705.31 : x
  2. Step 2: Convert to fraction form
    605,290.69/904,705.31 = 904,705.31/x
  3. Step 3: Cross multiply
    605,290.69x = 904,705.31 × 904,705.31
  4. Step 4: Simplify right side
    605,290.69x = 818,491,702,465.72
  5. Step 5: Solve for x
    x = 818,491,702,465.72/605,290.69
  6. Step 6: Final answer
    x = 1,352,229.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.