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Finding the Third Proportional to 266,187.94 and 583,993.13

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Solution

The third proportional to 266,187.94 and 583,993.13 is: 1,281,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,187.94 : 583,993.13 = 583,993.13 : x
  2. Step 2: Convert to fraction form
    266,187.94/583,993.13 = 583,993.13/x
  3. Step 3: Cross multiply
    266,187.94x = 583,993.13 × 583,993.13
  4. Step 4: Simplify right side
    266,187.94x = 341,047,970,047.27
  5. Step 5: Solve for x
    x = 341,047,970,047.27/266,187.94
  6. Step 6: Final answer
    x = 1,281,230.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.