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Finding the Third Proportional to 384,090 and 581,439

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Solution

The third proportional to 384,090 and 581,439 is: 880,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,090 : 581,439 = 581,439 : x
  2. Step 2: Convert to fraction form
    384,090/581,439 = 581,439/x
  3. Step 3: Cross multiply
    384,090x = 581,439 × 581,439
  4. Step 4: Simplify right side
    384,090x = 338,071,310,721
  5. Step 5: Solve for x
    x = 338,071,310,721/384,090
  6. Step 6: Final answer
    x = 880,187.74

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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.