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Finding the Third Proportional to 294,833 and 467,604

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Solution

The third proportional to 294,833 and 467,604 is: 741,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,833 : 467,604 = 467,604 : x
  2. Step 2: Convert to fraction form
    294,833/467,604 = 467,604/x
  3. Step 3: Cross multiply
    294,833x = 467,604 × 467,604
  4. Step 4: Simplify right side
    294,833x = 218,653,500,816
  5. Step 5: Solve for x
    x = 218,653,500,816/294,833
  6. Step 6: Final answer
    x = 741,618.14

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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.