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Finding the Third Proportional to 336,476 and 722,281

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Solution

The third proportional to 336,476 and 722,281 is: 1,550,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,476 : 722,281 = 722,281 : x
  2. Step 2: Convert to fraction form
    336,476/722,281 = 722,281/x
  3. Step 3: Cross multiply
    336,476x = 722,281 × 722,281
  4. Step 4: Simplify right side
    336,476x = 521,689,842,961
  5. Step 5: Solve for x
    x = 521,689,842,961/336,476
  6. Step 6: Final answer
    x = 1,550,451.87

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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.