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Finding the Third Proportional to 304,342.31 and 474,935.91

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Solution

The third proportional to 304,342.31 and 474,935.91 is: 741,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,342.31 : 474,935.91 = 474,935.91 : x
  2. Step 2: Convert to fraction form
    304,342.31/474,935.91 = 474,935.91/x
  3. Step 3: Cross multiply
    304,342.31x = 474,935.91 × 474,935.91
  4. Step 4: Simplify right side
    304,342.31x = 225,564,115,045.51
  5. Step 5: Solve for x
    x = 225,564,115,045.51/304,342.31
  6. Step 6: Final answer
    x = 741,152.66

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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.