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Finding the Third Proportional to 542,398 and 802,527

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Solution

The third proportional to 542,398 and 802,527 is: 1,187,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,398 : 802,527 = 802,527 : x
  2. Step 2: Convert to fraction form
    542,398/802,527 = 802,527/x
  3. Step 3: Cross multiply
    542,398x = 802,527 × 802,527
  4. Step 4: Simplify right side
    542,398x = 644,049,585,729
  5. Step 5: Solve for x
    x = 644,049,585,729/542,398
  6. Step 6: Final answer
    x = 1,187,411.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.