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Finding the Third Proportional to 439,283.25 and 596,716.88

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Solution

The third proportional to 439,283.25 and 596,716.88 is: 810,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,283.25 : 596,716.88 = 596,716.88 : x
  2. Step 2: Convert to fraction form
    439,283.25/596,716.88 = 596,716.88/x
  3. Step 3: Cross multiply
    439,283.25x = 596,716.88 × 596,716.88
  4. Step 4: Simplify right side
    439,283.25x = 356,071,028,909.77
  5. Step 5: Solve for x
    x = 356,071,028,909.77/439,283.25
  6. Step 6: Final answer
    x = 810,572.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.