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Finding the Third Proportional to 433,139.91 and 666,624.94

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Solution

The third proportional to 433,139.91 and 666,624.94 is: 1,025,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,139.91 : 666,624.94 = 666,624.94 : x
  2. Step 2: Convert to fraction form
    433,139.91/666,624.94 = 666,624.94/x
  3. Step 3: Cross multiply
    433,139.91x = 666,624.94 × 666,624.94
  4. Step 4: Simplify right side
    433,139.91x = 444,388,807,296.88
  5. Step 5: Solve for x
    x = 444,388,807,296.88/433,139.91
  6. Step 6: Final answer
    x = 1,025,970.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.