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Finding the Third Proportional to 630,176.25 and 968,625.75

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Solution

The third proportional to 630,176.25 and 968,625.75 is: 1,488,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,176.25 : 968,625.75 = 968,625.75 : x
  2. Step 2: Convert to fraction form
    630,176.25/968,625.75 = 968,625.75/x
  3. Step 3: Cross multiply
    630,176.25x = 968,625.75 × 968,625.75
  4. Step 4: Simplify right side
    630,176.25x = 938,235,843,563.06
  5. Step 5: Solve for x
    x = 938,235,843,563.06/630,176.25
  6. Step 6: Final answer
    x = 1,488,846.72

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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.