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Finding the Third Proportional to 283,260 and 616,320

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Solution

The third proportional to 283,260 and 616,320 is: 1,340,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,260 : 616,320 = 616,320 : x
  2. Step 2: Convert to fraction form
    283,260/616,320 = 616,320/x
  3. Step 3: Cross multiply
    283,260x = 616,320 × 616,320
  4. Step 4: Simplify right side
    283,260x = 379,850,342,400
  5. Step 5: Solve for x
    x = 379,850,342,400/283,260
  6. Step 6: Final answer
    x = 1,340,995.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.