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Finding the Third Proportional to 335,732 and 721,156

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Solution

The third proportional to 335,732 and 721,156 is: 1,549,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,732 : 721,156 = 721,156 : x
  2. Step 2: Convert to fraction form
    335,732/721,156 = 721,156/x
  3. Step 3: Cross multiply
    335,732x = 721,156 × 721,156
  4. Step 4: Simplify right side
    335,732x = 520,065,976,336
  5. Step 5: Solve for x
    x = 520,065,976,336/335,732
  6. Step 6: Final answer
    x = 1,549,050.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.