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Finding the Third Proportional to 359,276 and 499,539

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Solution

The third proportional to 359,276 and 499,539 is: 694,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,276 : 499,539 = 499,539 : x
  2. Step 2: Convert to fraction form
    359,276/499,539 = 499,539/x
  3. Step 3: Cross multiply
    359,276x = 499,539 × 499,539
  4. Step 4: Simplify right side
    359,276x = 249,539,212,521
  5. Step 5: Solve for x
    x = 249,539,212,521/359,276
  6. Step 6: Final answer
    x = 694,561.32

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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.