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Finding the Third Proportional to 216,947 and 450,292

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Solution

The third proportional to 216,947 and 450,292 is: 934,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,947 : 450,292 = 450,292 : x
  2. Step 2: Convert to fraction form
    216,947/450,292 = 450,292/x
  3. Step 3: Cross multiply
    216,947x = 450,292 × 450,292
  4. Step 4: Simplify right side
    216,947x = 202,762,885,264
  5. Step 5: Solve for x
    x = 202,762,885,264/216,947
  6. Step 6: Final answer
    x = 934,619.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.