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Finding the Third Proportional to 563,240 and 871,599

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Solution

The third proportional to 563,240 and 871,599 is: 1,348,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,240 : 871,599 = 871,599 : x
  2. Step 2: Convert to fraction form
    563,240/871,599 = 871,599/x
  3. Step 3: Cross multiply
    563,240x = 871,599 × 871,599
  4. Step 4: Simplify right side
    563,240x = 759,684,816,801
  5. Step 5: Solve for x
    x = 759,684,816,801/563,240
  6. Step 6: Final answer
    x = 1,348,776.40

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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.