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Finding the Third Proportional to 237,897 and 495,531

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Solution

The third proportional to 237,897 and 495,531 is: 1,032,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,897 : 495,531 = 495,531 : x
  2. Step 2: Convert to fraction form
    237,897/495,531 = 495,531/x
  3. Step 3: Cross multiply
    237,897x = 495,531 × 495,531
  4. Step 4: Simplify right side
    237,897x = 245,550,971,961
  5. Step 5: Solve for x
    x = 245,550,971,961/237,897
  6. Step 6: Final answer
    x = 1,032,173.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.