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Finding the Third Proportional to 296,846 and 700,017

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Solution

The third proportional to 296,846 and 700,017 is: 1,650,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,846 : 700,017 = 700,017 : x
  2. Step 2: Convert to fraction form
    296,846/700,017 = 700,017/x
  3. Step 3: Cross multiply
    296,846x = 700,017 × 700,017
  4. Step 4: Simplify right side
    296,846x = 490,023,800,289
  5. Step 5: Solve for x
    x = 490,023,800,289/296,846
  6. Step 6: Final answer
    x = 1,650,767.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.