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Finding the Third Proportional to 308,598 and 462,897

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Solution

The third proportional to 308,598 and 462,897 is: 694,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,598 : 462,897 = 462,897 : x
  2. Step 2: Convert to fraction form
    308,598/462,897 = 462,897/x
  3. Step 3: Cross multiply
    308,598x = 462,897 × 462,897
  4. Step 4: Simplify right side
    308,598x = 214,273,632,609
  5. Step 5: Solve for x
    x = 214,273,632,609/308,598
  6. Step 6: Final answer
    x = 694,345.50

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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.