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Finding the Third Proportional to 611,815.50 and 930,676.50

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Solution

The third proportional to 611,815.50 and 930,676.50 is: 1,415,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,815.50 : 930,676.50 = 930,676.50 : x
  2. Step 2: Convert to fraction form
    611,815.50/930,676.50 = 930,676.50/x
  3. Step 3: Cross multiply
    611,815.50x = 930,676.50 × 930,676.50
  4. Step 4: Simplify right side
    611,815.50x = 866,158,747,652.25
  5. Step 5: Solve for x
    x = 866,158,747,652.25/611,815.50
  6. Step 6: Final answer
    x = 1,415,718.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.