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Finding the Third Proportional to 230,683 and 495,851

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Solution

The third proportional to 230,683 and 495,851 is: 1,065,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,683 : 495,851 = 495,851 : x
  2. Step 2: Convert to fraction form
    230,683/495,851 = 495,851/x
  3. Step 3: Cross multiply
    230,683x = 495,851 × 495,851
  4. Step 4: Simplify right side
    230,683x = 245,868,214,201
  5. Step 5: Solve for x
    x = 245,868,214,201/230,683
  6. Step 6: Final answer
    x = 1,065,827.19

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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.