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Finding the Third Proportional to 341,820.56 and 745,146.56

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Solution

The third proportional to 341,820.56 and 745,146.56 is: 1,624,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,820.56 : 745,146.56 = 745,146.56 : x
  2. Step 2: Convert to fraction form
    341,820.56/745,146.56 = 745,146.56/x
  3. Step 3: Cross multiply
    341,820.56x = 745,146.56 × 745,146.56
  4. Step 4: Simplify right side
    341,820.56x = 555,243,399,605.57
  5. Step 5: Solve for x
    x = 555,243,399,605.57/341,820.56
  6. Step 6: Final answer
    x = 1,624,370.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.