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Finding the Third Proportional to 433,026 and 648,891

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Solution

The third proportional to 433,026 and 648,891 is: 972,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,026 : 648,891 = 648,891 : x
  2. Step 2: Convert to fraction form
    433,026/648,891 = 648,891/x
  3. Step 3: Cross multiply
    433,026x = 648,891 × 648,891
  4. Step 4: Simplify right side
    433,026x = 421,059,529,881
  5. Step 5: Solve for x
    x = 421,059,529,881/433,026
  6. Step 6: Final answer
    x = 972,365.47

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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.