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Finding the Third Proportional to 558,504 and 863,031

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Solution

The third proportional to 558,504 and 863,031 is: 1,333,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,504 : 863,031 = 863,031 : x
  2. Step 2: Convert to fraction form
    558,504/863,031 = 863,031/x
  3. Step 3: Cross multiply
    558,504x = 863,031 × 863,031
  4. Step 4: Simplify right side
    558,504x = 744,822,506,961
  5. Step 5: Solve for x
    x = 744,822,506,961/558,504
  6. Step 6: Final answer
    x = 1,333,602.82

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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.