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Finding the Third Proportional to 286,904 and 612,850

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Solution

The third proportional to 286,904 and 612,850 is: 1,309,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,904 : 612,850 = 612,850 : x
  2. Step 2: Convert to fraction form
    286,904/612,850 = 612,850/x
  3. Step 3: Cross multiply
    286,904x = 612,850 × 612,850
  4. Step 4: Simplify right side
    286,904x = 375,585,122,500
  5. Step 5: Solve for x
    x = 375,585,122,500/286,904
  6. Step 6: Final answer
    x = 1,309,096.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.