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Finding the Third Proportional to 244,002 and 364,566

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Solution

The third proportional to 244,002 and 364,566 is: 544,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,002 : 364,566 = 364,566 : x
  2. Step 2: Convert to fraction form
    244,002/364,566 = 364,566/x
  3. Step 3: Cross multiply
    244,002x = 364,566 × 364,566
  4. Step 4: Simplify right side
    244,002x = 132,908,368,356
  5. Step 5: Solve for x
    x = 132,908,368,356/244,002
  6. Step 6: Final answer
    x = 544,701.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.