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Finding the Third Proportional to 580,864.50 and 1,265,073.75

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Solution

The third proportional to 580,864.50 and 1,265,073.75 is: 2,755,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,864.50 : 1,265,073.75 = 1,265,073.75 : x
  2. Step 2: Convert to fraction form
    580,864.50/1,265,073.75 = 1,265,073.75/x
  3. Step 3: Cross multiply
    580,864.50x = 1,265,073.75 × 1,265,073.75
  4. Step 4: Simplify right side
    580,864.50x = 1,600,411,592,939.06
  5. Step 5: Solve for x
    x = 1,600,411,592,939.06/580,864.50
  6. Step 6: Final answer
    x = 2,755,223.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.