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Finding the Third Proportional to 218,064 and 474,960

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Solution

The third proportional to 218,064 and 474,960 is: 1,034,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,064 : 474,960 = 474,960 : x
  2. Step 2: Convert to fraction form
    218,064/474,960 = 474,960/x
  3. Step 3: Cross multiply
    218,064x = 474,960 × 474,960
  4. Step 4: Simplify right side
    218,064x = 225,587,001,600
  5. Step 5: Solve for x
    x = 225,587,001,600/218,064
  6. Step 6: Final answer
    x = 1,034,499.05

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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.