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Finding the Third Proportional to 375,606 and 581,634

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Solution

The third proportional to 375,606 and 581,634 is: 900,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,606 : 581,634 = 581,634 : x
  2. Step 2: Convert to fraction form
    375,606/581,634 = 581,634/x
  3. Step 3: Cross multiply
    375,606x = 581,634 × 581,634
  4. Step 4: Simplify right side
    375,606x = 338,298,109,956
  5. Step 5: Solve for x
    x = 338,298,109,956/375,606
  6. Step 6: Final answer
    x = 900,672.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.