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Finding the Third Proportional to 338,791 and 495,453

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Solution

The third proportional to 338,791 and 495,453 is: 724,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,791 : 495,453 = 495,453 : x
  2. Step 2: Convert to fraction form
    338,791/495,453 = 495,453/x
  3. Step 3: Cross multiply
    338,791x = 495,453 × 495,453
  4. Step 4: Simplify right side
    338,791x = 245,473,675,209
  5. Step 5: Solve for x
    x = 245,473,675,209/338,791
  6. Step 6: Final answer
    x = 724,557.84

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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.