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Finding the Third Proportional to 210,510 and 465,327

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Solution

The third proportional to 210,510 and 465,327 is: 1,028,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,510 : 465,327 = 465,327 : x
  2. Step 2: Convert to fraction form
    210,510/465,327 = 465,327/x
  3. Step 3: Cross multiply
    210,510x = 465,327 × 465,327
  4. Step 4: Simplify right side
    210,510x = 216,529,216,929
  5. Step 5: Solve for x
    x = 216,529,216,929/210,510
  6. Step 6: Final answer
    x = 1,028,593.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.