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Finding the Third Proportional to 231,068 and 495,328

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Solution

The third proportional to 231,068 and 495,328 is: 1,061,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,068 : 495,328 = 495,328 : x
  2. Step 2: Convert to fraction form
    231,068/495,328 = 495,328/x
  3. Step 3: Cross multiply
    231,068x = 495,328 × 495,328
  4. Step 4: Simplify right side
    231,068x = 245,349,827,584
  5. Step 5: Solve for x
    x = 245,349,827,584/231,068
  6. Step 6: Final answer
    x = 1,061,807.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.