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Finding the Third Proportional to 214,728 and 467,528

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Solution

The third proportional to 214,728 and 467,528 is: 1,017,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,728 : 467,528 = 467,528 : x
  2. Step 2: Convert to fraction form
    214,728/467,528 = 467,528/x
  3. Step 3: Cross multiply
    214,728x = 467,528 × 467,528
  4. Step 4: Simplify right side
    214,728x = 218,582,430,784
  5. Step 5: Solve for x
    x = 218,582,430,784/214,728
  6. Step 6: Final answer
    x = 1,017,950.29

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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.