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Finding the Third Proportional to 212,472 and 463,584

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Solution

The third proportional to 212,472 and 463,584 is: 1,011,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,472 : 463,584 = 463,584 : x
  2. Step 2: Convert to fraction form
    212,472/463,584 = 463,584/x
  3. Step 3: Cross multiply
    212,472x = 463,584 × 463,584
  4. Step 4: Simplify right side
    212,472x = 214,910,125,056
  5. Step 5: Solve for x
    x = 214,910,125,056/212,472
  6. Step 6: Final answer
    x = 1,011,475.04

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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.