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Finding the Third Proportional to 590,776.50 and 1,296,432

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Solution

The third proportional to 590,776.50 and 1,296,432 is: 2,844,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,776.50 : 1,296,432 = 1,296,432 : x
  2. Step 2: Convert to fraction form
    590,776.50/1,296,432 = 1,296,432/x
  3. Step 3: Cross multiply
    590,776.50x = 1,296,432 × 1,296,432
  4. Step 4: Simplify right side
    590,776.50x = 1,680,735,930,624
  5. Step 5: Solve for x
    x = 1,680,735,930,624/590,776.50
  6. Step 6: Final answer
    x = 2,844,960.71

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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.