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Finding the Third Proportional to 269,656.50 and 581,361

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Solution

The third proportional to 269,656.50 and 581,361 is: 1,253,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,656.50 : 581,361 = 581,361 : x
  2. Step 2: Convert to fraction form
    269,656.50/581,361 = 581,361/x
  3. Step 3: Cross multiply
    269,656.50x = 581,361 × 581,361
  4. Step 4: Simplify right side
    269,656.50x = 337,980,612,321
  5. Step 5: Solve for x
    x = 337,980,612,321/269,656.50
  6. Step 6: Final answer
    x = 1,253,374.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.