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Finding the Third Proportional to 212,952.94 and 455,452.88

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Solution

The third proportional to 212,952.94 and 455,452.88 is: 974,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,952.94 : 455,452.88 = 455,452.88 : x
  2. Step 2: Convert to fraction form
    212,952.94/455,452.88 = 455,452.88/x
  3. Step 3: Cross multiply
    212,952.94x = 455,452.88 × 455,452.88
  4. Step 4: Simplify right side
    212,952.94x = 207,437,321,345.77
  5. Step 5: Solve for x
    x = 207,437,321,345.77/212,952.94
  6. Step 6: Final answer
    x = 974,099.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.