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Finding the Third Proportional to 275,034 and 437,633

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Solution

The third proportional to 275,034 and 437,633 is: 696,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,034 : 437,633 = 437,633 : x
  2. Step 2: Convert to fraction form
    275,034/437,633 = 437,633/x
  3. Step 3: Cross multiply
    275,034x = 437,633 × 437,633
  4. Step 4: Simplify right side
    275,034x = 191,522,642,689
  5. Step 5: Solve for x
    x = 191,522,642,689/275,034
  6. Step 6: Final answer
    x = 696,359.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.