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Finding the Third Proportional to 218,574 and 480,024

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Solution

The third proportional to 218,574 and 480,024 is: 1,054,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,574 : 480,024 = 480,024 : x
  2. Step 2: Convert to fraction form
    218,574/480,024 = 480,024/x
  3. Step 3: Cross multiply
    218,574x = 480,024 × 480,024
  4. Step 4: Simplify right side
    218,574x = 230,423,040,576
  5. Step 5: Solve for x
    x = 230,423,040,576/218,574
  6. Step 6: Final answer
    x = 1,054,210.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.