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Finding the Third Proportional to 296,703 and 465,102

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Solution

The third proportional to 296,703 and 465,102 is: 729,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,703 : 465,102 = 465,102 : x
  2. Step 2: Convert to fraction form
    296,703/465,102 = 465,102/x
  3. Step 3: Cross multiply
    296,703x = 465,102 × 465,102
  4. Step 4: Simplify right side
    296,703x = 216,319,870,404
  5. Step 5: Solve for x
    x = 216,319,870,404/296,703
  6. Step 6: Final answer
    x = 729,078.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.