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Finding the Third Proportional to 564,580.88 and 804,822

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Solution

The third proportional to 564,580.88 and 804,822 is: 1,147,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,580.88 : 804,822 = 804,822 : x
  2. Step 2: Convert to fraction form
    564,580.88/804,822 = 804,822/x
  3. Step 3: Cross multiply
    564,580.88x = 804,822 × 804,822
  4. Step 4: Simplify right side
    564,580.88x = 647,738,451,684
  5. Step 5: Solve for x
    x = 647,738,451,684/564,580.88
  6. Step 6: Final answer
    x = 1,147,290.81

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.