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Finding the Third Proportional to 261,222 and 573,817.50

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Solution

The third proportional to 261,222 and 573,817.50 is: 1,260,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,222 : 573,817.50 = 573,817.50 : x
  2. Step 2: Convert to fraction form
    261,222/573,817.50 = 573,817.50/x
  3. Step 3: Cross multiply
    261,222x = 573,817.50 × 573,817.50
  4. Step 4: Simplify right side
    261,222x = 329,266,523,306.25
  5. Step 5: Solve for x
    x = 329,266,523,306.25/261,222
  6. Step 6: Final answer
    x = 1,260,485.42

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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.