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Finding the Third Proportional to 584,382.09 and 878,265.28

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Solution

The third proportional to 584,382.09 and 878,265.28 is: 1,319,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,382.09 : 878,265.28 = 878,265.28 : x
  2. Step 2: Convert to fraction form
    584,382.09/878,265.28 = 878,265.28/x
  3. Step 3: Cross multiply
    584,382.09x = 878,265.28 × 878,265.28
  4. Step 4: Simplify right side
    584,382.09x = 771,349,904,249.14
  5. Step 5: Solve for x
    x = 771,349,904,249.14/584,382.09
  6. Step 6: Final answer
    x = 1,319,941.03

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