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Finding the Third Proportional to 211,468.50 and 457,785

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Solution

The third proportional to 211,468.50 and 457,785 is: 991,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,468.50 : 457,785 = 457,785 : x
  2. Step 2: Convert to fraction form
    211,468.50/457,785 = 457,785/x
  3. Step 3: Cross multiply
    211,468.50x = 457,785 × 457,785
  4. Step 4: Simplify right side
    211,468.50x = 209,567,106,225
  5. Step 5: Solve for x
    x = 209,567,106,225/211,468.50
  6. Step 6: Final answer
    x = 991,008.62

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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.