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Finding the Third Proportional to 266,859 and 586,201.50

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Solution

The third proportional to 266,859 and 586,201.50 is: 1,287,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,859 : 586,201.50 = 586,201.50 : x
  2. Step 2: Convert to fraction form
    266,859/586,201.50 = 586,201.50/x
  3. Step 3: Cross multiply
    266,859x = 586,201.50 × 586,201.50
  4. Step 4: Simplify right side
    266,859x = 343,632,198,602.25
  5. Step 5: Solve for x
    x = 343,632,198,602.25/266,859
  6. Step 6: Final answer
    x = 1,287,692.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.