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Finding the Third Proportional to 384,106 and 581,463

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Solution

The third proportional to 384,106 and 581,463 is: 880,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,106 : 581,463 = 581,463 : x
  2. Step 2: Convert to fraction form
    384,106/581,463 = 581,463/x
  3. Step 3: Cross multiply
    384,106x = 581,463 × 581,463
  4. Step 4: Simplify right side
    384,106x = 338,099,220,369
  5. Step 5: Solve for x
    x = 338,099,220,369/384,106
  6. Step 6: Final answer
    x = 880,223.74

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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.