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Finding the Third Proportional to 266,577.75 and 592,204.50

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Solution

The third proportional to 266,577.75 and 592,204.50 is: 1,315,586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,577.75 : 592,204.50 = 592,204.50 : x
  2. Step 2: Convert to fraction form
    266,577.75/592,204.50 = 592,204.50/x
  3. Step 3: Cross multiply
    266,577.75x = 592,204.50 × 592,204.50
  4. Step 4: Simplify right side
    266,577.75x = 350,706,169,820.25
  5. Step 5: Solve for x
    x = 350,706,169,820.25/266,577.75
  6. Step 6: Final answer
    x = 1,315,586.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.