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Finding the Third Proportional to 230,687 and 495,862

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Solution

The third proportional to 230,687 and 495,862 is: 1,065,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,687 : 495,862 = 495,862 : x
  2. Step 2: Convert to fraction form
    230,687/495,862 = 495,862/x
  3. Step 3: Cross multiply
    230,687x = 495,862 × 495,862
  4. Step 4: Simplify right side
    230,687x = 245,879,123,044
  5. Step 5: Solve for x
    x = 245,879,123,044/230,687
  6. Step 6: Final answer
    x = 1,065,856.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.