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Finding the Third Proportional to 433,165.50 and 666,663.50

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Solution

The third proportional to 433,165.50 and 666,663.50 is: 1,026,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,165.50 : 666,663.50 = 666,663.50 : x
  2. Step 2: Convert to fraction form
    433,165.50/666,663.50 = 666,663.50/x
  3. Step 3: Cross multiply
    433,165.50x = 666,663.50 × 666,663.50
  4. Step 4: Simplify right side
    433,165.50x = 444,440,222,232.25
  5. Step 5: Solve for x
    x = 444,440,222,232.25/433,165.50
  6. Step 6: Final answer
    x = 1,026,028.67

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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.