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Finding the Third Proportional to 294,812 and 467,574

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Solution

The third proportional to 294,812 and 467,574 is: 741,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,812 : 467,574 = 467,574 : x
  2. Step 2: Convert to fraction form
    294,812/467,574 = 467,574/x
  3. Step 3: Cross multiply
    294,812x = 467,574 × 467,574
  4. Step 4: Simplify right side
    294,812x = 218,625,445,476
  5. Step 5: Solve for x
    x = 218,625,445,476/294,812
  6. Step 6: Final answer
    x = 741,575.80

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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.