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Finding the Third Proportional to 210,694 and 459,260

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Solution

The third proportional to 210,694 and 459,260 is: 1,001,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,694 : 459,260 = 459,260 : x
  2. Step 2: Convert to fraction form
    210,694/459,260 = 459,260/x
  3. Step 3: Cross multiply
    210,694x = 459,260 × 459,260
  4. Step 4: Simplify right side
    210,694x = 210,919,747,600
  5. Step 5: Solve for x
    x = 210,919,747,600/210,694
  6. Step 6: Final answer
    x = 1,001,071.45

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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.