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Finding the Third Proportional to 210,366 and 458,748

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Solution

The third proportional to 210,366 and 458,748 is: 1,000,398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,366 : 458,748 = 458,748 : x
  2. Step 2: Convert to fraction form
    210,366/458,748 = 458,748/x
  3. Step 3: Cross multiply
    210,366x = 458,748 × 458,748
  4. Step 4: Simplify right side
    210,366x = 210,449,727,504
  5. Step 5: Solve for x
    x = 210,449,727,504/210,366
  6. Step 6: Final answer
    x = 1,000,398.01

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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.