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Finding the Third Proportional to 492,189 and 703,818

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Solution

The third proportional to 492,189 and 703,818 is: 1,006,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,189 : 703,818 = 703,818 : x
  2. Step 2: Convert to fraction form
    492,189/703,818 = 703,818/x
  3. Step 3: Cross multiply
    492,189x = 703,818 × 703,818
  4. Step 4: Simplify right side
    492,189x = 495,359,777,124
  5. Step 5: Solve for x
    x = 495,359,777,124/492,189
  6. Step 6: Final answer
    x = 1,006,442.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.