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Finding the Third Proportional to 614,379 and 961,664

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Solution

The third proportional to 614,379 and 961,664 is: 1,505,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,379 : 961,664 = 961,664 : x
  2. Step 2: Convert to fraction form
    614,379/961,664 = 961,664/x
  3. Step 3: Cross multiply
    614,379x = 961,664 × 961,664
  4. Step 4: Simplify right side
    614,379x = 924,797,648,896
  5. Step 5: Solve for x
    x = 924,797,648,896/614,379
  6. Step 6: Final answer
    x = 1,505,255.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.