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Finding the Third Proportional to 224,368 and 474,056

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Solution

The third proportional to 224,368 and 474,056 is: 1,001,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,368 : 474,056 = 474,056 : x
  2. Step 2: Convert to fraction form
    224,368/474,056 = 474,056/x
  3. Step 3: Cross multiply
    224,368x = 474,056 × 474,056
  4. Step 4: Simplify right side
    224,368x = 224,729,091,136
  5. Step 5: Solve for x
    x = 224,729,091,136/224,368
  6. Step 6: Final answer
    x = 1,001,609.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.