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Finding the Third Proportional to 212,127 and 457,462

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Solution

The third proportional to 212,127 and 457,462 is: 986,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,127 : 457,462 = 457,462 : x
  2. Step 2: Convert to fraction form
    212,127/457,462 = 457,462/x
  3. Step 3: Cross multiply
    212,127x = 457,462 × 457,462
  4. Step 4: Simplify right side
    212,127x = 209,271,481,444
  5. Step 5: Solve for x
    x = 209,271,481,444/212,127
  6. Step 6: Final answer
    x = 986,538.64

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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.