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Finding the Third Proportional to 359,339 and 538,963

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Solution

The third proportional to 359,339 and 538,963 is: 808,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,339 : 538,963 = 538,963 : x
  2. Step 2: Convert to fraction form
    359,339/538,963 = 538,963/x
  3. Step 3: Cross multiply
    359,339x = 538,963 × 538,963
  4. Step 4: Simplify right side
    359,339x = 290,481,115,369
  5. Step 5: Solve for x
    x = 290,481,115,369/359,339
  6. Step 6: Final answer
    x = 808,376.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.