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Finding the Third Proportional to 293,467 and 466,826

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Solution

The third proportional to 293,467 and 466,826 is: 742,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,467 : 466,826 = 466,826 : x
  2. Step 2: Convert to fraction form
    293,467/466,826 = 466,826/x
  3. Step 3: Cross multiply
    293,467x = 466,826 × 466,826
  4. Step 4: Simplify right side
    293,467x = 217,926,514,276
  5. Step 5: Solve for x
    x = 217,926,514,276/293,467
  6. Step 6: Final answer
    x = 742,592.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.