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Finding the Third Proportional to 222,253 and 480,046

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Solution

The third proportional to 222,253 and 480,046 is: 1,036,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,253 : 480,046 = 480,046 : x
  2. Step 2: Convert to fraction form
    222,253/480,046 = 480,046/x
  3. Step 3: Cross multiply
    222,253x = 480,046 × 480,046
  4. Step 4: Simplify right side
    222,253x = 230,444,162,116
  5. Step 5: Solve for x
    x = 230,444,162,116/222,253
  6. Step 6: Final answer
    x = 1,036,855.13

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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.