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Finding the Third Proportional to 539,473.50 and 838,188

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Solution

The third proportional to 539,473.50 and 838,188 is: 1,302,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,473.50 : 838,188 = 838,188 : x
  2. Step 2: Convert to fraction form
    539,473.50/838,188 = 838,188/x
  3. Step 3: Cross multiply
    539,473.50x = 838,188 × 838,188
  4. Step 4: Simplify right side
    539,473.50x = 702,559,123,344
  5. Step 5: Solve for x
    x = 702,559,123,344/539,473.50
  6. Step 6: Final answer
    x = 1,302,305.16

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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.