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Finding the Third Proportional to 403,738.50 and 849,327

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Solution

The third proportional to 403,738.50 and 849,327 is: 1,786,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,738.50 : 849,327 = 849,327 : x
  2. Step 2: Convert to fraction form
    403,738.50/849,327 = 849,327/x
  3. Step 3: Cross multiply
    403,738.50x = 849,327 × 849,327
  4. Step 4: Simplify right side
    403,738.50x = 721,356,352,929
  5. Step 5: Solve for x
    x = 721,356,352,929/403,738.50
  6. Step 6: Final answer
    x = 1,786,692.01

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