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Finding the Third Proportional to 294,434 and 466,994

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Solution

The third proportional to 294,434 and 466,994 is: 740,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,434 : 466,994 = 466,994 : x
  2. Step 2: Convert to fraction form
    294,434/466,994 = 466,994/x
  3. Step 3: Cross multiply
    294,434x = 466,994 × 466,994
  4. Step 4: Simplify right side
    294,434x = 218,083,396,036
  5. Step 5: Solve for x
    x = 218,083,396,036/294,434
  6. Step 6: Final answer
    x = 740,686.86

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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.