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Finding the Third Proportional to 359,270 and 499,532

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Solution

The third proportional to 359,270 and 499,532 is: 694,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,270 : 499,532 = 499,532 : x
  2. Step 2: Convert to fraction form
    359,270/499,532 = 499,532/x
  3. Step 3: Cross multiply
    359,270x = 499,532 × 499,532
  4. Step 4: Simplify right side
    359,270x = 249,532,219,024
  5. Step 5: Solve for x
    x = 249,532,219,024/359,270
  6. Step 6: Final answer
    x = 694,553.45

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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.