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Finding the Third Proportional to 380,253 and 584,691

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Solution

The third proportional to 380,253 and 584,691 is: 899,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,253 : 584,691 = 584,691 : x
  2. Step 2: Convert to fraction form
    380,253/584,691 = 584,691/x
  3. Step 3: Cross multiply
    380,253x = 584,691 × 584,691
  4. Step 4: Simplify right side
    380,253x = 341,863,565,481
  5. Step 5: Solve for x
    x = 341,863,565,481/380,253
  6. Step 6: Final answer
    x = 899,042.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.