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Finding the Third Proportional to 564,822 and 880,578

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Solution

The third proportional to 564,822 and 880,578 is: 1,372,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,822 : 880,578 = 880,578 : x
  2. Step 2: Convert to fraction form
    564,822/880,578 = 880,578/x
  3. Step 3: Cross multiply
    564,822x = 880,578 × 880,578
  4. Step 4: Simplify right side
    564,822x = 775,417,614,084
  5. Step 5: Solve for x
    x = 775,417,614,084/564,822
  6. Step 6: Final answer
    x = 1,372,853.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.