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Finding the Third Proportional to 669,335.25 and 975,961.69

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Solution

The third proportional to 669,335.25 and 975,961.69 is: 1,423,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,335.25 : 975,961.69 = 975,961.69 : x
  2. Step 2: Convert to fraction form
    669,335.25/975,961.69 = 975,961.69/x
  3. Step 3: Cross multiply
    669,335.25x = 975,961.69 × 975,961.69
  4. Step 4: Simplify right side
    669,335.25x = 952,501,215,467.85
  5. Step 5: Solve for x
    x = 952,501,215,467.85/669,335.25
  6. Step 6: Final answer
    x = 1,423,055.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.