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Finding the Third Proportional to 269,894.50 and 581,308.50

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Solution

The third proportional to 269,894.50 and 581,308.50 is: 1,252,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,894.50 : 581,308.50 = 581,308.50 : x
  2. Step 2: Convert to fraction form
    269,894.50/581,308.50 = 581,308.50/x
  3. Step 3: Cross multiply
    269,894.50x = 581,308.50 × 581,308.50
  4. Step 4: Simplify right side
    269,894.50x = 337,919,572,172.25
  5. Step 5: Solve for x
    x = 337,919,572,172.25/269,894.50
  6. Step 6: Final answer
    x = 1,252,043.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.