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Finding the Third Proportional to 359,677.13 and 537,043.50

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Solution

The third proportional to 359,677.13 and 537,043.50 is: 801,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,677.13 : 537,043.50 = 537,043.50 : x
  2. Step 2: Convert to fraction form
    359,677.13/537,043.50 = 537,043.50/x
  3. Step 3: Cross multiply
    359,677.13x = 537,043.50 × 537,043.50
  4. Step 4: Simplify right side
    359,677.13x = 288,415,720,892.25
  5. Step 5: Solve for x
    x = 288,415,720,892.25/359,677.13
  6. Step 6: Final answer
    x = 801,873.96

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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.