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Finding the Third Proportional to 402,289 and 794,310

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Solution

The third proportional to 402,289 and 794,310 is: 1,568,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,289 : 794,310 = 794,310 : x
  2. Step 2: Convert to fraction form
    402,289/794,310 = 794,310/x
  3. Step 3: Cross multiply
    402,289x = 794,310 × 794,310
  4. Step 4: Simplify right side
    402,289x = 630,928,376,100
  5. Step 5: Solve for x
    x = 630,928,376,100/402,289
  6. Step 6: Final answer
    x = 1,568,346.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.