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Finding the Third Proportional to 712,802 and 942,195

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Solution

The third proportional to 712,802 and 942,195 is: 1,245,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,802 : 942,195 = 942,195 : x
  2. Step 2: Convert to fraction form
    712,802/942,195 = 942,195/x
  3. Step 3: Cross multiply
    712,802x = 942,195 × 942,195
  4. Step 4: Simplify right side
    712,802x = 887,731,418,025
  5. Step 5: Solve for x
    x = 887,731,418,025/712,802
  6. Step 6: Final answer
    x = 1,245,410.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.