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Finding the Third Proportional to 201,314 and 433,540

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Solution

The third proportional to 201,314 and 433,540 is: 933,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314 : 433,540 = 433,540 : x
  2. Step 2: Convert to fraction form
    201,314/433,540 = 433,540/x
  3. Step 3: Cross multiply
    201,314x = 433,540 × 433,540
  4. Step 4: Simplify right side
    201,314x = 187,956,931,600
  5. Step 5: Solve for x
    x = 187,956,931,600/201,314
  6. Step 6: Final answer
    x = 933,650.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.