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Finding the Third Proportional to 261,622.88 and 394,351.50

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Solution

The third proportional to 261,622.88 and 394,351.50 is: 594,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,622.88 : 394,351.50 = 394,351.50 : x
  2. Step 2: Convert to fraction form
    261,622.88/394,351.50 = 394,351.50/x
  3. Step 3: Cross multiply
    261,622.88x = 394,351.50 × 394,351.50
  4. Step 4: Simplify right side
    261,622.88x = 155,513,105,552.25
  5. Step 5: Solve for x
    x = 155,513,105,552.25/261,622.88
  6. Step 6: Final answer
    x = 594,417.08

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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.