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Finding the Third Proportional to 337,298 and 722,412

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Solution

The third proportional to 337,298 and 722,412 is: 1,547,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,298 : 722,412 = 722,412 : x
  2. Step 2: Convert to fraction form
    337,298/722,412 = 722,412/x
  3. Step 3: Cross multiply
    337,298x = 722,412 × 722,412
  4. Step 4: Simplify right side
    337,298x = 521,879,097,744
  5. Step 5: Solve for x
    x = 521,879,097,744/337,298
  6. Step 6: Final answer
    x = 1,547,234.49

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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.