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Finding the Third Proportional to 391,909.50 and 586,341

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Solution

The third proportional to 391,909.50 and 586,341 is: 877,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,909.50 : 586,341 = 586,341 : x
  2. Step 2: Convert to fraction form
    391,909.50/586,341 = 586,341/x
  3. Step 3: Cross multiply
    391,909.50x = 586,341 × 586,341
  4. Step 4: Simplify right side
    391,909.50x = 343,795,768,281
  5. Step 5: Solve for x
    x = 343,795,768,281/391,909.50
  6. Step 6: Final answer
    x = 877,232.55

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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.