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Finding the Third Proportional to 296,869 and 700,103

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Solution

The third proportional to 296,869 and 700,103 is: 1,651,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,869 : 700,103 = 700,103 : x
  2. Step 2: Convert to fraction form
    296,869/700,103 = 700,103/x
  3. Step 3: Cross multiply
    296,869x = 700,103 × 700,103
  4. Step 4: Simplify right side
    296,869x = 490,144,210,609
  5. Step 5: Solve for x
    x = 490,144,210,609/296,869
  6. Step 6: Final answer
    x = 1,651,045.45

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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.