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Finding the Third Proportional to 214,530 and 457,548

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Solution

The third proportional to 214,530 and 457,548 is: 975,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,530 : 457,548 = 457,548 : x
  2. Step 2: Convert to fraction form
    214,530/457,548 = 457,548/x
  3. Step 3: Cross multiply
    214,530x = 457,548 × 457,548
  4. Step 4: Simplify right side
    214,530x = 209,350,172,304
  5. Step 5: Solve for x
    x = 209,350,172,304/214,530
  6. Step 6: Final answer
    x = 975,855.00

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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.