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Finding the Third Proportional to 237,805 and 495,292

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Solution

The third proportional to 237,805 and 495,292 is: 1,031,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,805 : 495,292 = 495,292 : x
  2. Step 2: Convert to fraction form
    237,805/495,292 = 495,292/x
  3. Step 3: Cross multiply
    237,805x = 495,292 × 495,292
  4. Step 4: Simplify right side
    237,805x = 245,314,165,264
  5. Step 5: Solve for x
    x = 245,314,165,264/237,805
  6. Step 6: Final answer
    x = 1,031,576.99

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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.