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Finding the Third Proportional to 349,459.50 and 756,045

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Solution

The third proportional to 349,459.50 and 756,045 is: 1,635,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,459.50 : 756,045 = 756,045 : x
  2. Step 2: Convert to fraction form
    349,459.50/756,045 = 756,045/x
  3. Step 3: Cross multiply
    349,459.50x = 756,045 × 756,045
  4. Step 4: Simplify right side
    349,459.50x = 571,604,042,025
  5. Step 5: Solve for x
    x = 571,604,042,025/349,459.50
  6. Step 6: Final answer
    x = 1,635,680.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.