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Finding the Third Proportional to 296,838 and 700,002

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Solution

The third proportional to 296,838 and 700,002 is: 1,650,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,838 : 700,002 = 700,002 : x
  2. Step 2: Convert to fraction form
    296,838/700,002 = 700,002/x
  3. Step 3: Cross multiply
    296,838x = 700,002 × 700,002
  4. Step 4: Simplify right side
    296,838x = 490,002,800,004
  5. Step 5: Solve for x
    x = 490,002,800,004/296,838
  6. Step 6: Final answer
    x = 1,650,741.48

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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.