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Finding the Third Proportional to 296,082 and 642,708

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Solution

The third proportional to 296,082 and 642,708 is: 1,395,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,082 : 642,708 = 642,708 : x
  2. Step 2: Convert to fraction form
    296,082/642,708 = 642,708/x
  3. Step 3: Cross multiply
    296,082x = 642,708 × 642,708
  4. Step 4: Simplify right side
    296,082x = 413,073,573,264
  5. Step 5: Solve for x
    x = 413,073,573,264/296,082
  6. Step 6: Final answer
    x = 1,395,132.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.