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Finding the Third Proportional to 431,390 and 591,726

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Solution

The third proportional to 431,390 and 591,726 is: 811,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,390 : 591,726 = 591,726 : x
  2. Step 2: Convert to fraction form
    431,390/591,726 = 591,726/x
  3. Step 3: Cross multiply
    431,390x = 591,726 × 591,726
  4. Step 4: Simplify right side
    431,390x = 350,139,659,076
  5. Step 5: Solve for x
    x = 350,139,659,076/431,390
  6. Step 6: Final answer
    x = 811,654.56

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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.