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Finding the Third Proportional to 216,628 and 450,588

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Solution

The third proportional to 216,628 and 450,588 is: 937,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,628 : 450,588 = 450,588 : x
  2. Step 2: Convert to fraction form
    216,628/450,588 = 450,588/x
  3. Step 3: Cross multiply
    216,628x = 450,588 × 450,588
  4. Step 4: Simplify right side
    216,628x = 203,029,545,744
  5. Step 5: Solve for x
    x = 203,029,545,744/216,628
  6. Step 6: Final answer
    x = 937,226.70

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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.