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Finding the Third Proportional to 375,914 and 581,679

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Solution

The third proportional to 375,914 and 581,679 is: 900,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,914 : 581,679 = 581,679 : x
  2. Step 2: Convert to fraction form
    375,914/581,679 = 581,679/x
  3. Step 3: Cross multiply
    375,914x = 581,679 × 581,679
  4. Step 4: Simplify right side
    375,914x = 338,350,459,041
  5. Step 5: Solve for x
    x = 338,350,459,041/375,914
  6. Step 6: Final answer
    x = 900,074.11

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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.