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Finding the Third Proportional to 303,555 and 459,870

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Solution

The third proportional to 303,555 and 459,870 is: 696,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,555 : 459,870 = 459,870 : x
  2. Step 2: Convert to fraction form
    303,555/459,870 = 459,870/x
  3. Step 3: Cross multiply
    303,555x = 459,870 × 459,870
  4. Step 4: Simplify right side
    303,555x = 211,480,416,900
  5. Step 5: Solve for x
    x = 211,480,416,900/303,555
  6. Step 6: Final answer
    x = 696,679.08

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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.