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Finding the Third Proportional to 359,245.13 and 499,501.69

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Solution

The third proportional to 359,245.13 and 499,501.69 is: 694,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,245.13 : 499,501.69 = 499,501.69 : x
  2. Step 2: Convert to fraction form
    359,245.13/499,501.69 = 499,501.69/x
  3. Step 3: Cross multiply
    359,245.13x = 499,501.69 × 499,501.69
  4. Step 4: Simplify right side
    359,245.13x = 249,501,935,815.35
  5. Step 5: Solve for x
    x = 249,501,935,815.35/359,245.13
  6. Step 6: Final answer
    x = 694,517.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.