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Finding the Third Proportional to 266,010.75 and 578,677.50

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Solution

The third proportional to 266,010.75 and 578,677.50 is: 1,258,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,010.75 : 578,677.50 = 578,677.50 : x
  2. Step 2: Convert to fraction form
    266,010.75/578,677.50 = 578,677.50/x
  3. Step 3: Cross multiply
    266,010.75x = 578,677.50 × 578,677.50
  4. Step 4: Simplify right side
    266,010.75x = 334,867,649,006.25
  5. Step 5: Solve for x
    x = 334,867,649,006.25/266,010.75
  6. Step 6: Final answer
    x = 1,258,850.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.