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Finding the Third Proportional to 657,956.25 and 994,102.88

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Solution

The third proportional to 657,956.25 and 994,102.88 is: 1,501,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,956.25 : 994,102.88 = 994,102.88 : x
  2. Step 2: Convert to fraction form
    657,956.25/994,102.88 = 994,102.88/x
  3. Step 3: Cross multiply
    657,956.25x = 994,102.88 × 994,102.88
  4. Step 4: Simplify right side
    657,956.25x = 988,240,526,083.27
  5. Step 5: Solve for x
    x = 988,240,526,083.27/657,956.25
  6. Step 6: Final answer
    x = 1,501,985.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.