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Finding the Third Proportional to 433,777.78 and 648,172.13

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Solution

The third proportional to 433,777.78 and 648,172.13 is: 968,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,777.78 : 648,172.13 = 648,172.13 : x
  2. Step 2: Convert to fraction form
    433,777.78/648,172.13 = 648,172.13/x
  3. Step 3: Cross multiply
    433,777.78x = 648,172.13 × 648,172.13
  4. Step 4: Simplify right side
    433,777.78x = 420,127,103,627.02
  5. Step 5: Solve for x
    x = 420,127,103,627.02/433,777.78
  6. Step 6: Final answer
    x = 968,530.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.