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Finding the Third Proportional to 200,727 and 302,792

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Solution

The third proportional to 200,727 and 302,792 is: 456,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,727 : 302,792 = 302,792 : x
  2. Step 2: Convert to fraction form
    200,727/302,792 = 302,792/x
  3. Step 3: Cross multiply
    200,727x = 302,792 × 302,792
  4. Step 4: Simplify right side
    200,727x = 91,682,995,264
  5. Step 5: Solve for x
    x = 91,682,995,264/200,727
  6. Step 6: Final answer
    x = 456,754.67

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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.