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Finding the Third Proportional to 359,862.75 and 537,811.88

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Solution

The third proportional to 359,862.75 and 537,811.88 is: 803,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,862.75 : 537,811.88 = 537,811.88 : x
  2. Step 2: Convert to fraction form
    359,862.75/537,811.88 = 537,811.88/x
  3. Step 3: Cross multiply
    359,862.75x = 537,811.88 × 537,811.88
  4. Step 4: Simplify right side
    359,862.75x = 289,241,612,891.02
  5. Step 5: Solve for x
    x = 289,241,612,891.02/359,862.75
  6. Step 6: Final answer
    x = 803,755.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.