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Finding the Third Proportional to 210,913 and 453,832

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Solution

The third proportional to 210,913 and 453,832 is: 976,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,913 : 453,832 = 453,832 : x
  2. Step 2: Convert to fraction form
    210,913/453,832 = 453,832/x
  3. Step 3: Cross multiply
    210,913x = 453,832 × 453,832
  4. Step 4: Simplify right side
    210,913x = 205,963,484,224
  5. Step 5: Solve for x
    x = 205,963,484,224/210,913
  6. Step 6: Final answer
    x = 976,532.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.