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Finding the Third Proportional to 262,108.75 and 573,280.50

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Solution

The third proportional to 262,108.75 and 573,280.50 is: 1,253,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,108.75 : 573,280.50 = 573,280.50 : x
  2. Step 2: Convert to fraction form
    262,108.75/573,280.50 = 573,280.50/x
  3. Step 3: Cross multiply
    262,108.75x = 573,280.50 × 573,280.50
  4. Step 4: Simplify right side
    262,108.75x = 328,650,531,680.25
  5. Step 5: Solve for x
    x = 328,650,531,680.25/262,108.75
  6. Step 6: Final answer
    x = 1,253,870.89

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