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Finding the Third Proportional to 261,569.25 and 394,277.63

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Solution

The third proportional to 261,569.25 and 394,277.63 is: 594,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,569.25 : 394,277.63 = 394,277.63 : x
  2. Step 2: Convert to fraction form
    261,569.25/394,277.63 = 394,277.63/x
  3. Step 3: Cross multiply
    261,569.25x = 394,277.63 × 394,277.63
  4. Step 4: Simplify right side
    261,569.25x = 155,454,845,575.64
  5. Step 5: Solve for x
    x = 155,454,845,575.64/261,569.25
  6. Step 6: Final answer
    x = 594,316.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.