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Finding the Third Proportional to 375,478 and 581,441

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Solution

The third proportional to 375,478 and 581,441 is: 900,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,478 : 581,441 = 581,441 : x
  2. Step 2: Convert to fraction form
    375,478/581,441 = 581,441/x
  3. Step 3: Cross multiply
    375,478x = 581,441 × 581,441
  4. Step 4: Simplify right side
    375,478x = 338,073,636,481
  5. Step 5: Solve for x
    x = 338,073,636,481/375,478
  6. Step 6: Final answer
    x = 900,382.01

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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.