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Finding the Third Proportional to 252,346 and 369,687

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Solution

The third proportional to 252,346 and 369,687 is: 541,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,346 : 369,687 = 369,687 : x
  2. Step 2: Convert to fraction form
    252,346/369,687 = 369,687/x
  3. Step 3: Cross multiply
    252,346x = 369,687 × 369,687
  4. Step 4: Simplify right side
    252,346x = 136,668,477,969
  5. Step 5: Solve for x
    x = 136,668,477,969/252,346
  6. Step 6: Final answer
    x = 541,591.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.