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Finding the Third Proportional to 359,151.50 and 781,360.50

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Solution

The third proportional to 359,151.50 and 781,360.50 is: 1,699,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,151.50 : 781,360.50 = 781,360.50 : x
  2. Step 2: Convert to fraction form
    359,151.50/781,360.50 = 781,360.50/x
  3. Step 3: Cross multiply
    359,151.50x = 781,360.50 × 781,360.50
  4. Step 4: Simplify right side
    359,151.50x = 610,524,230,960.25
  5. Step 5: Solve for x
    x = 610,524,230,960.25/359,151.50
  6. Step 6: Final answer
    x = 1,699,907.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.