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Finding the Third Proportional to 294,278 and 466,293

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Solution

The third proportional to 294,278 and 466,293 is: 738,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,278 : 466,293 = 466,293 : x
  2. Step 2: Convert to fraction form
    294,278/466,293 = 466,293/x
  3. Step 3: Cross multiply
    294,278x = 466,293 × 466,293
  4. Step 4: Simplify right side
    294,278x = 217,429,161,849
  5. Step 5: Solve for x
    x = 217,429,161,849/294,278
  6. Step 6: Final answer
    x = 738,856.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.