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Finding the Third Proportional to 359,271.25 and 499,532.75

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Solution

The third proportional to 359,271.25 and 499,532.75 is: 694,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,271.25 : 499,532.75 = 499,532.75 : x
  2. Step 2: Convert to fraction form
    359,271.25/499,532.75 = 499,532.75/x
  3. Step 3: Cross multiply
    359,271.25x = 499,532.75 × 499,532.75
  4. Step 4: Simplify right side
    359,271.25x = 249,532,968,322.56
  5. Step 5: Solve for x
    x = 249,532,968,322.56/359,271.25
  6. Step 6: Final answer
    x = 694,553.12

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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.