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Finding the Third Proportional to 216,968 and 472,492

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Solution

The third proportional to 216,968 and 472,492 is: 1,028,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,968 : 472,492 = 472,492 : x
  2. Step 2: Convert to fraction form
    216,968/472,492 = 472,492/x
  3. Step 3: Cross multiply
    216,968x = 472,492 × 472,492
  4. Step 4: Simplify right side
    216,968x = 223,248,690,064
  5. Step 5: Solve for x
    x = 223,248,690,064/216,968
  6. Step 6: Final answer
    x = 1,028,947.54

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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.