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Finding the Third Proportional to 232,044 and 369,228

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Solution

The third proportional to 232,044 and 369,228 is: 587,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,044 : 369,228 = 369,228 : x
  2. Step 2: Convert to fraction form
    232,044/369,228 = 369,228/x
  3. Step 3: Cross multiply
    232,044x = 369,228 × 369,228
  4. Step 4: Simplify right side
    232,044x = 136,329,315,984
  5. Step 5: Solve for x
    x = 136,329,315,984/232,044
  6. Step 6: Final answer
    x = 587,514.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.