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Finding the Third Proportional to 337,228 and 722,296

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Solution

The third proportional to 337,228 and 722,296 is: 1,547,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,228 : 722,296 = 722,296 : x
  2. Step 2: Convert to fraction form
    337,228/722,296 = 722,296/x
  3. Step 3: Cross multiply
    337,228x = 722,296 × 722,296
  4. Step 4: Simplify right side
    337,228x = 521,711,511,616
  5. Step 5: Solve for x
    x = 521,711,511,616/337,228
  6. Step 6: Final answer
    x = 1,547,058.70

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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.