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Finding the Third Proportional to 237,993 and 495,714

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Solution

The third proportional to 237,993 and 495,714 is: 1,032,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,993 : 495,714 = 495,714 : x
  2. Step 2: Convert to fraction form
    237,993/495,714 = 495,714/x
  3. Step 3: Cross multiply
    237,993x = 495,714 × 495,714
  4. Step 4: Simplify right side
    237,993x = 245,732,369,796
  5. Step 5: Solve for x
    x = 245,732,369,796/237,993
  6. Step 6: Final answer
    x = 1,032,519.32

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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.