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Finding the Third Proportional to 229,552 and 379,344

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Solution

The third proportional to 229,552 and 379,344 is: 626,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,552 : 379,344 = 379,344 : x
  2. Step 2: Convert to fraction form
    229,552/379,344 = 379,344/x
  3. Step 3: Cross multiply
    229,552x = 379,344 × 379,344
  4. Step 4: Simplify right side
    229,552x = 143,901,870,336
  5. Step 5: Solve for x
    x = 143,901,870,336/229,552
  6. Step 6: Final answer
    x = 626,881.36

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.