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Finding the Third Proportional to 294,806.25 and 467,565.75

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Solution

The third proportional to 294,806.25 and 467,565.75 is: 741,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,806.25 : 467,565.75 = 467,565.75 : x
  2. Step 2: Convert to fraction form
    294,806.25/467,565.75 = 467,565.75/x
  3. Step 3: Cross multiply
    294,806.25x = 467,565.75 × 467,565.75
  4. Step 4: Simplify right side
    294,806.25x = 218,617,730,573.06
  5. Step 5: Solve for x
    x = 218,617,730,573.06/294,806.25
  6. Step 6: Final answer
    x = 741,564.10

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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.