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Finding the Third Proportional to 630,172.88 and 968,620.88

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Solution

The third proportional to 630,172.88 and 968,620.88 is: 1,488,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,172.88 : 968,620.88 = 968,620.88 : x
  2. Step 2: Convert to fraction form
    630,172.88/968,620.88 = 968,620.88/x
  3. Step 3: Cross multiply
    630,172.88x = 968,620.88 × 968,620.88
  4. Step 4: Simplify right side
    630,172.88x = 938,226,399,485.77
  5. Step 5: Solve for x
    x = 938,226,399,485.77/630,172.88
  6. Step 6: Final answer
    x = 1,488,839.71

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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.