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Finding the Third Proportional to 384,094 and 581,448

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Solution

The third proportional to 384,094 and 581,448 is: 880,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,094 : 581,448 = 581,448 : x
  2. Step 2: Convert to fraction form
    384,094/581,448 = 581,448/x
  3. Step 3: Cross multiply
    384,094x = 581,448 × 581,448
  4. Step 4: Simplify right side
    384,094x = 338,081,776,704
  5. Step 5: Solve for x
    x = 338,081,776,704/384,094
  6. Step 6: Final answer
    x = 880,205.83

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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.