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Finding the Third Proportional to 201,758 and 455,492

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Solution

The third proportional to 201,758 and 455,492 is: 1,028,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,758 : 455,492 = 455,492 : x
  2. Step 2: Convert to fraction form
    201,758/455,492 = 455,492/x
  3. Step 3: Cross multiply
    201,758x = 455,492 × 455,492
  4. Step 4: Simplify right side
    201,758x = 207,472,962,064
  5. Step 5: Solve for x
    x = 207,472,962,064/201,758
  6. Step 6: Final answer
    x = 1,028,325.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.