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Finding the Third Proportional to 384,098 and 581,454

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Solution

The third proportional to 384,098 and 581,454 is: 880,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,098 : 581,454 = 581,454 : x
  2. Step 2: Convert to fraction form
    384,098/581,454 = 581,454/x
  3. Step 3: Cross multiply
    384,098x = 581,454 × 581,454
  4. Step 4: Simplify right side
    384,098x = 338,088,754,116
  5. Step 5: Solve for x
    x = 338,088,754,116/384,098
  6. Step 6: Final answer
    x = 880,214.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.