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Finding the Third Proportional to 216,624 and 450,582

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Solution

The third proportional to 216,624 and 450,582 is: 937,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,624 : 450,582 = 450,582 : x
  2. Step 2: Convert to fraction form
    216,624/450,582 = 450,582/x
  3. Step 3: Cross multiply
    216,624x = 450,582 × 450,582
  4. Step 4: Simplify right side
    216,624x = 203,024,138,724
  5. Step 5: Solve for x
    x = 203,024,138,724/216,624
  6. Step 6: Final answer
    x = 937,219.05

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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.