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Finding the Third Proportional to 344,071.50 and 743,501.50

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Solution

The third proportional to 344,071.50 and 743,501.50 is: 1,606,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,071.50 : 743,501.50 = 743,501.50 : x
  2. Step 2: Convert to fraction form
    344,071.50/743,501.50 = 743,501.50/x
  3. Step 3: Cross multiply
    344,071.50x = 743,501.50 × 743,501.50
  4. Step 4: Simplify right side
    344,071.50x = 552,794,480,502.25
  5. Step 5: Solve for x
    x = 552,794,480,502.25/344,071.50
  6. Step 6: Final answer
    x = 1,606,626.76

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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.