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Finding the Third Proportional to 337,185 and 722,349

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Solution

The third proportional to 337,185 and 722,349 is: 1,547,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,185 : 722,349 = 722,349 : x
  2. Step 2: Convert to fraction form
    337,185/722,349 = 722,349/x
  3. Step 3: Cross multiply
    337,185x = 722,349 × 722,349
  4. Step 4: Simplify right side
    337,185x = 521,788,077,801
  5. Step 5: Solve for x
    x = 521,788,077,801/337,185
  6. Step 6: Final answer
    x = 1,547,483.07

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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.