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Finding the Third Proportional to 558,984 and 871,686

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Solution

The third proportional to 558,984 and 871,686 is: 1,359,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,984 : 871,686 = 871,686 : x
  2. Step 2: Convert to fraction form
    558,984/871,686 = 871,686/x
  3. Step 3: Cross multiply
    558,984x = 871,686 × 871,686
  4. Step 4: Simplify right side
    558,984x = 759,836,482,596
  5. Step 5: Solve for x
    x = 759,836,482,596/558,984
  6. Step 6: Final answer
    x = 1,359,317.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.