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Finding the Third Proportional to 294,804 and 467,559

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Solution

The third proportional to 294,804 and 467,559 is: 741,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,804 : 467,559 = 467,559 : x
  2. Step 2: Convert to fraction form
    294,804/467,559 = 467,559/x
  3. Step 3: Cross multiply
    294,804x = 467,559 × 467,559
  4. Step 4: Simplify right side
    294,804x = 218,611,418,481
  5. Step 5: Solve for x
    x = 218,611,418,481/294,804
  6. Step 6: Final answer
    x = 741,548.35

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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.