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Finding the Third Proportional to 337,293 and 722,403

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Solution

The third proportional to 337,293 and 722,403 is: 1,547,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,293 : 722,403 = 722,403 : x
  2. Step 2: Convert to fraction form
    337,293/722,403 = 722,403/x
  3. Step 3: Cross multiply
    337,293x = 722,403 × 722,403
  4. Step 4: Simplify right side
    337,293x = 521,866,094,409
  5. Step 5: Solve for x
    x = 521,866,094,409/337,293
  6. Step 6: Final answer
    x = 1,547,218.87

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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.