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Finding the Third Proportional to 284,958 and 612,792

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Solution

The third proportional to 284,958 and 612,792 is: 1,317,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,958 : 612,792 = 612,792 : x
  2. Step 2: Convert to fraction form
    284,958/612,792 = 612,792/x
  3. Step 3: Cross multiply
    284,958x = 612,792 × 612,792
  4. Step 4: Simplify right side
    284,958x = 375,514,035,264
  5. Step 5: Solve for x
    x = 375,514,035,264/284,958
  6. Step 6: Final answer
    x = 1,317,787.31

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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.