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Finding the Third Proportional to 244,735 and 344,646

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Solution

The third proportional to 244,735 and 344,646 is: 485,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,735 : 344,646 = 344,646 : x
  2. Step 2: Convert to fraction form
    244,735/344,646 = 344,646/x
  3. Step 3: Cross multiply
    244,735x = 344,646 × 344,646
  4. Step 4: Simplify right side
    244,735x = 118,780,865,316
  5. Step 5: Solve for x
    x = 118,780,865,316/244,735
  6. Step 6: Final answer
    x = 485,344.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.