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Finding the Third Proportional to 560,404 and 838,626

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Solution

The third proportional to 560,404 and 838,626 is: 1,254,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,404 : 838,626 = 838,626 : x
  2. Step 2: Convert to fraction form
    560,404/838,626 = 838,626/x
  3. Step 3: Cross multiply
    560,404x = 838,626 × 838,626
  4. Step 4: Simplify right side
    560,404x = 703,293,567,876
  5. Step 5: Solve for x
    x = 703,293,567,876/560,404
  6. Step 6: Final answer
    x = 1,254,976.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.