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Finding the Third Proportional to 334,802 and 505,221.50

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Solution

The third proportional to 334,802 and 505,221.50 is: 762,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,802 : 505,221.50 = 505,221.50 : x
  2. Step 2: Convert to fraction form
    334,802/505,221.50 = 505,221.50/x
  3. Step 3: Cross multiply
    334,802x = 505,221.50 × 505,221.50
  4. Step 4: Simplify right side
    334,802x = 255,248,764,062.25
  5. Step 5: Solve for x
    x = 255,248,764,062.25/334,802
  6. Step 6: Final answer
    x = 762,387.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.