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Finding the Third Proportional to 294,561 and 467,174.25

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Solution

The third proportional to 294,561 and 467,174.25 is: 740,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,561 : 467,174.25 = 467,174.25 : x
  2. Step 2: Convert to fraction form
    294,561/467,174.25 = 467,174.25/x
  3. Step 3: Cross multiply
    294,561x = 467,174.25 × 467,174.25
  4. Step 4: Simplify right side
    294,561x = 218,251,779,863.06
  5. Step 5: Solve for x
    x = 218,251,779,863.06/294,561
  6. Step 6: Final answer
    x = 740,939.16

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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.