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Finding the Third Proportional to 766,912.50 and 1,166,302.13

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Solution

The third proportional to 766,912.50 and 1,166,302.13 is: 1,773,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,912.50 : 1,166,302.13 = 1,166,302.13 : x
  2. Step 2: Convert to fraction form
    766,912.50/1,166,302.13 = 1,166,302.13/x
  3. Step 3: Cross multiply
    766,912.50x = 1,166,302.13 × 1,166,302.13
  4. Step 4: Simplify right side
    766,912.50x = 1,360,260,646,779.52
  5. Step 5: Solve for x
    x = 1,360,260,646,779.52/766,912.50
  6. Step 6: Final answer
    x = 1,773,684.28

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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.