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Finding the Third Proportional to 218,322 and 474,501

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Solution

The third proportional to 218,322 and 474,501 is: 1,031,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,322 : 474,501 = 474,501 : x
  2. Step 2: Convert to fraction form
    218,322/474,501 = 474,501/x
  3. Step 3: Cross multiply
    218,322x = 474,501 × 474,501
  4. Step 4: Simplify right side
    218,322x = 225,151,199,001
  5. Step 5: Solve for x
    x = 225,151,199,001/218,322
  6. Step 6: Final answer
    x = 1,031,280.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.