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Finding the Third Proportional to 359,282 and 499,549

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Solution

The third proportional to 359,282 and 499,549 is: 694,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,282 : 499,549 = 499,549 : x
  2. Step 2: Convert to fraction form
    359,282/499,549 = 499,549/x
  3. Step 3: Cross multiply
    359,282x = 499,549 × 499,549
  4. Step 4: Simplify right side
    359,282x = 249,549,203,401
  5. Step 5: Solve for x
    x = 249,549,203,401/359,282
  6. Step 6: Final answer
    x = 694,577.53

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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.