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Finding the Third Proportional to 296,082 and 442,875

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Solution

The third proportional to 296,082 and 442,875 is: 662,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,082 : 442,875 = 442,875 : x
  2. Step 2: Convert to fraction form
    296,082/442,875 = 442,875/x
  3. Step 3: Cross multiply
    296,082x = 442,875 × 442,875
  4. Step 4: Simplify right side
    296,082x = 196,138,265,625
  5. Step 5: Solve for x
    x = 196,138,265,625/296,082
  6. Step 6: Final answer
    x = 662,445.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.