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Finding the Third Proportional to 439,202 and 596,591

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Solution

The third proportional to 439,202 and 596,591 is: 810,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,202 : 596,591 = 596,591 : x
  2. Step 2: Convert to fraction form
    439,202/596,591 = 596,591/x
  3. Step 3: Cross multiply
    439,202x = 596,591 × 596,591
  4. Step 4: Simplify right side
    439,202x = 355,920,821,281
  5. Step 5: Solve for x
    x = 355,920,821,281/439,202
  6. Step 6: Final answer
    x = 810,380.69

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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.