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Finding the Third Proportional to 431,988.19 and 595,486.69

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Solution

The third proportional to 431,988.19 and 595,486.69 is: 820,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,988.19 : 595,486.69 = 595,486.69 : x
  2. Step 2: Convert to fraction form
    431,988.19/595,486.69 = 595,486.69/x
  3. Step 3: Cross multiply
    431,988.19x = 595,486.69 × 595,486.69
  4. Step 4: Simplify right side
    431,988.19x = 354,604,394,989.72
  5. Step 5: Solve for x
    x = 354,604,394,989.72/431,988.19
  6. Step 6: Final answer
    x = 820,865.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.