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Finding the Third Proportional to 311,810.50 and 456,051.75

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Solution

The third proportional to 311,810.50 and 456,051.75 is: 667,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,810.50 : 456,051.75 = 456,051.75 : x
  2. Step 2: Convert to fraction form
    311,810.50/456,051.75 = 456,051.75/x
  3. Step 3: Cross multiply
    311,810.50x = 456,051.75 × 456,051.75
  4. Step 4: Simplify right side
    311,810.50x = 207,983,198,678.06
  5. Step 5: Solve for x
    x = 207,983,198,678.06/311,810.50
  6. Step 6: Final answer
    x = 667,017.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.