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Finding the Third Proportional to 403,591.50 and 849,010

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Solution

The third proportional to 403,591.50 and 849,010 is: 1,786,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,591.50 : 849,010 = 849,010 : x
  2. Step 2: Convert to fraction form
    403,591.50/849,010 = 849,010/x
  3. Step 3: Cross multiply
    403,591.50x = 849,010 × 849,010
  4. Step 4: Simplify right side
    403,591.50x = 720,817,980,100
  5. Step 5: Solve for x
    x = 720,817,980,100/403,591.50
  6. Step 6: Final answer
    x = 1,786,008.82

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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.