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Finding the Third Proportional to 320,548 and 480,870

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Solution

The third proportional to 320,548 and 480,870 is: 721,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,548 : 480,870 = 480,870 : x
  2. Step 2: Convert to fraction form
    320,548/480,870 = 480,870/x
  3. Step 3: Cross multiply
    320,548x = 480,870 × 480,870
  4. Step 4: Simplify right side
    320,548x = 231,235,956,900
  5. Step 5: Solve for x
    x = 231,235,956,900/320,548
  6. Step 6: Final answer
    x = 721,377.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.