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Finding the Third Proportional to 304,349 and 474,948

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Solution

The third proportional to 304,349 and 474,948 is: 741,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,349 : 474,948 = 474,948 : x
  2. Step 2: Convert to fraction form
    304,349/474,948 = 474,948/x
  3. Step 3: Cross multiply
    304,349x = 474,948 × 474,948
  4. Step 4: Simplify right side
    304,349x = 225,575,602,704
  5. Step 5: Solve for x
    x = 225,575,602,704/304,349
  6. Step 6: Final answer
    x = 741,174.12

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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.