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Finding the Third Proportional to 237,990 and 495,708

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Solution

The third proportional to 237,990 and 495,708 is: 1,032,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,990 : 495,708 = 495,708 : x
  2. Step 2: Convert to fraction form
    237,990/495,708 = 495,708/x
  3. Step 3: Cross multiply
    237,990x = 495,708 × 495,708
  4. Step 4: Simplify right side
    237,990x = 245,726,421,264
  5. Step 5: Solve for x
    x = 245,726,421,264/237,990
  6. Step 6: Final answer
    x = 1,032,507.34

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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.