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Finding the Third Proportional to 210,875 and 454,967

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Solution

The third proportional to 210,875 and 454,967 is: 981,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,875 : 454,967 = 454,967 : x
  2. Step 2: Convert to fraction form
    210,875/454,967 = 454,967/x
  3. Step 3: Cross multiply
    210,875x = 454,967 × 454,967
  4. Step 4: Simplify right side
    210,875x = 206,994,971,089
  5. Step 5: Solve for x
    x = 206,994,971,089/210,875
  6. Step 6: Final answer
    x = 981,600.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.