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Finding the Third Proportional to 384,114 and 581,478

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Solution

The third proportional to 384,114 and 581,478 is: 880,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,114 : 581,478 = 581,478 : x
  2. Step 2: Convert to fraction form
    384,114/581,478 = 581,478/x
  3. Step 3: Cross multiply
    384,114x = 581,478 × 581,478
  4. Step 4: Simplify right side
    384,114x = 338,116,664,484
  5. Step 5: Solve for x
    x = 338,116,664,484/384,114
  6. Step 6: Final answer
    x = 880,250.82

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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.