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Finding the Third Proportional to 657,887.06 and 991,690.59

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Solution

The third proportional to 657,887.06 and 991,690.59 is: 1,494,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,887.06 : 991,690.59 = 991,690.59 : x
  2. Step 2: Convert to fraction form
    657,887.06/991,690.59 = 991,690.59/x
  3. Step 3: Cross multiply
    657,887.06x = 991,690.59 × 991,690.59
  4. Step 4: Simplify right side
    657,887.06x = 983,450,233,732.23
  5. Step 5: Solve for x
    x = 983,450,233,732.23/657,887.06
  6. Step 6: Final answer
    x = 1,494,861.79

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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.