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Finding the Third Proportional to 269,893.50 and 581,306.25

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Solution

The third proportional to 269,893.50 and 581,306.25 is: 1,252,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,893.50 : 581,306.25 = 581,306.25 : x
  2. Step 2: Convert to fraction form
    269,893.50/581,306.25 = 581,306.25/x
  3. Step 3: Cross multiply
    269,893.50x = 581,306.25 × 581,306.25
  4. Step 4: Simplify right side
    269,893.50x = 337,916,956,289.06
  5. Step 5: Solve for x
    x = 337,916,956,289.06/269,893.50
  6. Step 6: Final answer
    x = 1,252,038.14

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Why These Related Problems?

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