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Finding the Third Proportional to 216,526 and 472,400

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Solution

The third proportional to 216,526 and 472,400 is: 1,030,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,526 : 472,400 = 472,400 : x
  2. Step 2: Convert to fraction form
    216,526/472,400 = 472,400/x
  3. Step 3: Cross multiply
    216,526x = 472,400 × 472,400
  4. Step 4: Simplify right side
    216,526x = 223,161,760,000
  5. Step 5: Solve for x
    x = 223,161,760,000/216,526
  6. Step 6: Final answer
    x = 1,030,646.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.