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Finding the Third Proportional to 304,819 and 474,677

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Solution

The third proportional to 304,819 and 474,677 is: 739,187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,819 : 474,677 = 474,677 : x
  2. Step 2: Convert to fraction form
    304,819/474,677 = 474,677/x
  3. Step 3: Cross multiply
    304,819x = 474,677 × 474,677
  4. Step 4: Simplify right side
    304,819x = 225,318,254,329
  5. Step 5: Solve for x
    x = 225,318,254,329/304,819
  6. Step 6: Final answer
    x = 739,187.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.