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Finding the Third Proportional to 563,238 and 871,596

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Solution

The third proportional to 563,238 and 871,596 is: 1,348,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,238 : 871,596 = 871,596 : x
  2. Step 2: Convert to fraction form
    563,238/871,596 = 871,596/x
  3. Step 3: Cross multiply
    563,238x = 871,596 × 871,596
  4. Step 4: Simplify right side
    563,238x = 759,679,587,216
  5. Step 5: Solve for x
    x = 759,679,587,216/563,238
  6. Step 6: Final answer
    x = 1,348,771.90

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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.