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Finding the Third Proportional to 541,808 and 838,472

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Solution

The third proportional to 541,808 and 838,472 is: 1,297,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,808 : 838,472 = 838,472 : x
  2. Step 2: Convert to fraction form
    541,808/838,472 = 838,472/x
  3. Step 3: Cross multiply
    541,808x = 838,472 × 838,472
  4. Step 4: Simplify right side
    541,808x = 703,035,294,784
  5. Step 5: Solve for x
    x = 703,035,294,784/541,808
  6. Step 6: Final answer
    x = 1,297,572.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.