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Finding the Third Proportional to 563,253 and 871,620

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Solution

The third proportional to 563,253 and 871,620 is: 1,348,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,253 : 871,620 = 871,620 : x
  2. Step 2: Convert to fraction form
    563,253/871,620 = 871,620/x
  3. Step 3: Cross multiply
    563,253x = 871,620 × 871,620
  4. Step 4: Simplify right side
    563,253x = 759,721,424,400
  5. Step 5: Solve for x
    x = 759,721,424,400/563,253
  6. Step 6: Final answer
    x = 1,348,810.26

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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.