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Finding the Third Proportional to 311,529.38 and 466,775.63

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Solution

The third proportional to 311,529.38 and 466,775.63 is: 699,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,529.38 : 466,775.63 = 466,775.63 : x
  2. Step 2: Convert to fraction form
    311,529.38/466,775.63 = 466,775.63/x
  3. Step 3: Cross multiply
    311,529.38x = 466,775.63 × 466,775.63
  4. Step 4: Simplify right side
    311,529.38x = 217,879,484,094.14
  5. Step 5: Solve for x
    x = 217,879,484,094.14/311,529.38
  6. Step 6: Final answer
    x = 699,386.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.