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Finding the Third Proportional to 585,542 and 873,439

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Solution

The third proportional to 585,542 and 873,439 is: 1,302,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,542 : 873,439 = 873,439 : x
  2. Step 2: Convert to fraction form
    585,542/873,439 = 873,439/x
  3. Step 3: Cross multiply
    585,542x = 873,439 × 873,439
  4. Step 4: Simplify right side
    585,542x = 762,895,686,721
  5. Step 5: Solve for x
    x = 762,895,686,721/585,542
  6. Step 6: Final answer
    x = 1,302,888.07

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Why These Related Problems?

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