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Finding the Third Proportional to 359,536 and 782,468

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Solution

The third proportional to 359,536 and 782,468 is: 1,702,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,536 : 782,468 = 782,468 : x
  2. Step 2: Convert to fraction form
    359,536/782,468 = 782,468/x
  3. Step 3: Cross multiply
    359,536x = 782,468 × 782,468
  4. Step 4: Simplify right side
    359,536x = 612,256,171,024
  5. Step 5: Solve for x
    x = 612,256,171,024/359,536
  6. Step 6: Final answer
    x = 1,702,906.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.