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Finding the Third Proportional to 304,838 and 474,702

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Solution

The third proportional to 304,838 and 474,702 is: 739,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,838 : 474,702 = 474,702 : x
  2. Step 2: Convert to fraction form
    304,838/474,702 = 474,702/x
  3. Step 3: Cross multiply
    304,838x = 474,702 × 474,702
  4. Step 4: Simplify right side
    304,838x = 225,341,988,804
  5. Step 5: Solve for x
    x = 225,341,988,804/304,838
  6. Step 6: Final answer
    x = 739,218.83

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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.