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Finding the Third Proportional to 304,316 and 474,898

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Solution

The third proportional to 304,316 and 474,898 is: 741,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,316 : 474,898 = 474,898 : x
  2. Step 2: Convert to fraction form
    304,316/474,898 = 474,898/x
  3. Step 3: Cross multiply
    304,316x = 474,898 × 474,898
  4. Step 4: Simplify right side
    304,316x = 225,528,110,404
  5. Step 5: Solve for x
    x = 225,528,110,404/304,316
  6. Step 6: Final answer
    x = 741,098.43

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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.