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Finding the Third Proportional to 403,771 and 849,368

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Solution

The third proportional to 403,771 and 849,368 is: 1,786,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,771 : 849,368 = 849,368 : x
  2. Step 2: Convert to fraction form
    403,771/849,368 = 849,368/x
  3. Step 3: Cross multiply
    403,771x = 849,368 × 849,368
  4. Step 4: Simplify right side
    403,771x = 721,425,999,424
  5. Step 5: Solve for x
    x = 721,425,999,424/403,771
  6. Step 6: Final answer
    x = 1,786,720.69

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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.