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Finding the Third Proportional to 214,433 and 457,368

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Solution

The third proportional to 214,433 and 457,368 is: 975,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,433 : 457,368 = 457,368 : x
  2. Step 2: Convert to fraction form
    214,433/457,368 = 457,368/x
  3. Step 3: Cross multiply
    214,433x = 457,368 × 457,368
  4. Step 4: Simplify right side
    214,433x = 209,185,487,424
  5. Step 5: Solve for x
    x = 209,185,487,424/214,433
  6. Step 6: Final answer
    x = 975,528.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.