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Finding the Third Proportional to 563,140 and 871,714

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Solution

The third proportional to 563,140 and 871,714 is: 1,349,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,140 : 871,714 = 871,714 : x
  2. Step 2: Convert to fraction form
    563,140/871,714 = 871,714/x
  3. Step 3: Cross multiply
    563,140x = 871,714 × 871,714
  4. Step 4: Simplify right side
    563,140x = 759,885,297,796
  5. Step 5: Solve for x
    x = 759,885,297,796/563,140
  6. Step 6: Final answer
    x = 1,349,371.91

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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.