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Finding the Third Proportional to 252,344 and 369,684

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Solution

The third proportional to 252,344 and 369,684 is: 541,587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,344 : 369,684 = 369,684 : x
  2. Step 2: Convert to fraction form
    252,344/369,684 = 369,684/x
  3. Step 3: Cross multiply
    252,344x = 369,684 × 369,684
  4. Step 4: Simplify right side
    252,344x = 136,666,259,856
  5. Step 5: Solve for x
    x = 136,666,259,856/252,344
  6. Step 6: Final answer
    x = 541,587.12

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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.