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Finding the Third Proportional to 403,015.50 and 849,771

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Solution

The third proportional to 403,015.50 and 849,771 is: 1,791,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,015.50 : 849,771 = 849,771 : x
  2. Step 2: Convert to fraction form
    403,015.50/849,771 = 849,771/x
  3. Step 3: Cross multiply
    403,015.50x = 849,771 × 849,771
  4. Step 4: Simplify right side
    403,015.50x = 722,110,752,441
  5. Step 5: Solve for x
    x = 722,110,752,441/403,015.50
  6. Step 6: Final answer
    x = 1,791,769.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.