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Finding the Third Proportional to 691,294.50 and 1,006,546.50

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Solution

The third proportional to 691,294.50 and 1,006,546.50 is: 1,465,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,294.50 : 1,006,546.50 = 1,006,546.50 : x
  2. Step 2: Convert to fraction form
    691,294.50/1,006,546.50 = 1,006,546.50/x
  3. Step 3: Cross multiply
    691,294.50x = 1,006,546.50 × 1,006,546.50
  4. Step 4: Simplify right side
    691,294.50x = 1,013,135,856,662.25
  5. Step 5: Solve for x
    x = 1,013,135,856,662.25/691,294.50
  6. Step 6: Final answer
    x = 1,465,563.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.