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Finding the Third Proportional to 696,768.56 and 1,032,201.75

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Solution

The third proportional to 696,768.56 and 1,032,201.75 is: 1,529,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,768.56 : 1,032,201.75 = 1,032,201.75 : x
  2. Step 2: Convert to fraction form
    696,768.56/1,032,201.75 = 1,032,201.75/x
  3. Step 3: Cross multiply
    696,768.56x = 1,032,201.75 × 1,032,201.75
  4. Step 4: Simplify right side
    696,768.56x = 1,065,440,452,703.06
  5. Step 5: Solve for x
    x = 1,065,440,452,703.06/696,768.56
  6. Step 6: Final answer
    x = 1,529,116.71

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.