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Finding the Third Proportional to 469,915.88 and 756,633.38

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Solution

The third proportional to 469,915.88 and 756,633.38 is: 1,218,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,915.88 : 756,633.38 = 756,633.38 : x
  2. Step 2: Convert to fraction form
    469,915.88/756,633.38 = 756,633.38/x
  3. Step 3: Cross multiply
    469,915.88x = 756,633.38 × 756,633.38
  4. Step 4: Simplify right side
    469,915.88x = 572,494,064,163.89
  5. Step 5: Solve for x
    x = 572,494,064,163.89/469,915.88
  6. Step 6: Final answer
    x = 1,218,290.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.