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Finding the Third Proportional to 253,570 and 394,895.13

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Solution

The third proportional to 253,570 and 394,895.13 is: 614,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,570 : 394,895.13 = 394,895.13 : x
  2. Step 2: Convert to fraction form
    253,570/394,895.13 = 394,895.13/x
  3. Step 3: Cross multiply
    253,570x = 394,895.13 × 394,895.13
  4. Step 4: Simplify right side
    253,570x = 155,942,159,748.77
  5. Step 5: Solve for x
    x = 155,942,159,748.77/253,570
  6. Step 6: Final answer
    x = 614,986.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.