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Finding the Third Proportional to 296,841 and 700,005

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Solution

The third proportional to 296,841 and 700,005 is: 1,650,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,841 : 700,005 = 700,005 : x
  2. Step 2: Convert to fraction form
    296,841/700,005 = 700,005/x
  3. Step 3: Cross multiply
    296,841x = 700,005 × 700,005
  4. Step 4: Simplify right side
    296,841x = 490,007,000,025
  5. Step 5: Solve for x
    x = 490,007,000,025/296,841
  6. Step 6: Final answer
    x = 1,650,738.95

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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.