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Finding the Third Proportional to 217,440 and 461,024

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Solution

The third proportional to 217,440 and 461,024 is: 977,479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,440 : 461,024 = 461,024 : x
  2. Step 2: Convert to fraction form
    217,440/461,024 = 461,024/x
  3. Step 3: Cross multiply
    217,440x = 461,024 × 461,024
  4. Step 4: Simplify right side
    217,440x = 212,543,128,576
  5. Step 5: Solve for x
    x = 212,543,128,576/217,440
  6. Step 6: Final answer
    x = 977,479.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.