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Finding the Third Proportional to 574,128 and 844,578

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Solution

The third proportional to 574,128 and 844,578 is: 1,242,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,128 : 844,578 = 844,578 : x
  2. Step 2: Convert to fraction form
    574,128/844,578 = 844,578/x
  3. Step 3: Cross multiply
    574,128x = 844,578 × 844,578
  4. Step 4: Simplify right side
    574,128x = 713,311,998,084
  5. Step 5: Solve for x
    x = 713,311,998,084/574,128
  6. Step 6: Final answer
    x = 1,242,426.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.