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Finding the Third Proportional to 337,200 and 722,392

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Solution

The third proportional to 337,200 and 722,392 is: 1,547,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,200 : 722,392 = 722,392 : x
  2. Step 2: Convert to fraction form
    337,200/722,392 = 722,392/x
  3. Step 3: Cross multiply
    337,200x = 722,392 × 722,392
  4. Step 4: Simplify right side
    337,200x = 521,850,201,664
  5. Step 5: Solve for x
    x = 521,850,201,664/337,200
  6. Step 6: Final answer
    x = 1,547,598.46

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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.