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Finding the Third Proportional to 403,713 and 849,249

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Solution

The third proportional to 403,713 and 849,249 is: 1,786,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,713 : 849,249 = 849,249 : x
  2. Step 2: Convert to fraction form
    403,713/849,249 = 849,249/x
  3. Step 3: Cross multiply
    403,713x = 849,249 × 849,249
  4. Step 4: Simplify right side
    403,713x = 721,223,864,001
  5. Step 5: Solve for x
    x = 721,223,864,001/403,713
  6. Step 6: Final answer
    x = 1,786,476.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.