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Finding the Third Proportional to 304,789 and 474,634.50

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Solution

The third proportional to 304,789 and 474,634.50 is: 739,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,789 : 474,634.50 = 474,634.50 : x
  2. Step 2: Convert to fraction form
    304,789/474,634.50 = 474,634.50/x
  3. Step 3: Cross multiply
    304,789x = 474,634.50 × 474,634.50
  4. Step 4: Simplify right side
    304,789x = 225,277,908,590.25
  5. Step 5: Solve for x
    x = 225,277,908,590.25/304,789
  6. Step 6: Final answer
    x = 739,127.42

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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.