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Finding the Third Proportional to 347,742 and 741,415.50

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Solution

The third proportional to 347,742 and 741,415.50 is: 1,580,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,742 : 741,415.50 = 741,415.50 : x
  2. Step 2: Convert to fraction form
    347,742/741,415.50 = 741,415.50/x
  3. Step 3: Cross multiply
    347,742x = 741,415.50 × 741,415.50
  4. Step 4: Simplify right side
    347,742x = 549,696,943,640.25
  5. Step 5: Solve for x
    x = 549,696,943,640.25/347,742
  6. Step 6: Final answer
    x = 1,580,760.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.