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Finding the Third Proportional to 214,212.09 and 457,948.69

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Solution

The third proportional to 214,212.09 and 457,948.69 is: 979,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,212.09 : 457,948.69 = 457,948.69 : x
  2. Step 2: Convert to fraction form
    214,212.09/457,948.69 = 457,948.69/x
  3. Step 3: Cross multiply
    214,212.09x = 457,948.69 × 457,948.69
  4. Step 4: Simplify right side
    214,212.09x = 209,717,000,382.97
  5. Step 5: Solve for x
    x = 209,717,000,382.97/214,212.09
  6. Step 6: Final answer
    x = 979,015.69

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1.5x scale

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.