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Finding the Third Proportional to 563,242 and 871,602

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Solution

The third proportional to 563,242 and 871,602 is: 1,348,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,242 : 871,602 = 871,602 : x
  2. Step 2: Convert to fraction form
    563,242/871,602 = 871,602/x
  3. Step 3: Cross multiply
    563,242x = 871,602 × 871,602
  4. Step 4: Simplify right side
    563,242x = 759,690,046,404
  5. Step 5: Solve for x
    x = 759,690,046,404/563,242
  6. Step 6: Final answer
    x = 1,348,780.89

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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.