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Finding the Third Proportional to 762,233.63 and 1,045,191.38

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Solution

The third proportional to 762,233.63 and 1,045,191.38 is: 1,433,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,233.63 : 1,045,191.38 = 1,045,191.38 : x
  2. Step 2: Convert to fraction form
    762,233.63/1,045,191.38 = 1,045,191.38/x
  3. Step 3: Cross multiply
    762,233.63x = 1,045,191.38 × 1,045,191.38
  4. Step 4: Simplify right side
    762,233.63x = 1,092,425,010,374.39
  5. Step 5: Solve for x
    x = 1,092,425,010,374.39/762,233.63
  6. Step 6: Final answer
    x = 1,433,189.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.