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Finding the Third Proportional to 622,960.88 and 975,965.63

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Solution

The third proportional to 622,960.88 and 975,965.63 is: 1,529,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,960.88 : 975,965.63 = 975,965.63 : x
  2. Step 2: Convert to fraction form
    622,960.88/975,965.63 = 975,965.63/x
  3. Step 3: Cross multiply
    622,960.88x = 975,965.63 × 975,965.63
  4. Step 4: Simplify right side
    622,960.88x = 952,508,901,181.64
  5. Step 5: Solve for x
    x = 952,508,901,181.64/622,960.88
  6. Step 6: Final answer
    x = 1,529,002.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.