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Finding the Third Proportional to 650,152 and 862,683

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Solution

The third proportional to 650,152 and 862,683 is: 1,144,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,152 : 862,683 = 862,683 : x
  2. Step 2: Convert to fraction form
    650,152/862,683 = 862,683/x
  3. Step 3: Cross multiply
    650,152x = 862,683 × 862,683
  4. Step 4: Simplify right side
    650,152x = 744,221,958,489
  5. Step 5: Solve for x
    x = 744,221,958,489/650,152
  6. Step 6: Final answer
    x = 1,144,689.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.