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Finding the Third Proportional to 244,564 and 369,312

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Solution

The third proportional to 244,564 and 369,312 is: 557,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,564 : 369,312 = 369,312 : x
  2. Step 2: Convert to fraction form
    244,564/369,312 = 369,312/x
  3. Step 3: Cross multiply
    244,564x = 369,312 × 369,312
  4. Step 4: Simplify right side
    244,564x = 136,391,353,344
  5. Step 5: Solve for x
    x = 136,391,353,344/244,564
  6. Step 6: Final answer
    x = 557,691.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.