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Finding the Third Proportional to 558,769 and 859,951

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Solution

The third proportional to 558,769 and 859,951 is: 1,323,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,769 : 859,951 = 859,951 : x
  2. Step 2: Convert to fraction form
    558,769/859,951 = 859,951/x
  3. Step 3: Cross multiply
    558,769x = 859,951 × 859,951
  4. Step 4: Simplify right side
    558,769x = 739,515,722,401
  5. Step 5: Solve for x
    x = 739,515,722,401/558,769
  6. Step 6: Final answer
    x = 1,323,473.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.