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Finding the Third Proportional to 244,681 and 356,370

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Solution

The third proportional to 244,681 and 356,370 is: 519,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,681 : 356,370 = 356,370 : x
  2. Step 2: Convert to fraction form
    244,681/356,370 = 356,370/x
  3. Step 3: Cross multiply
    244,681x = 356,370 × 356,370
  4. Step 4: Simplify right side
    244,681x = 126,999,576,900
  5. Step 5: Solve for x
    x = 126,999,576,900/244,681
  6. Step 6: Final answer
    x = 519,041.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.