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Finding the Third Proportional to 347,739 and 741,409.50

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Solution

The third proportional to 347,739 and 741,409.50 is: 1,580,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,739 : 741,409.50 = 741,409.50 : x
  2. Step 2: Convert to fraction form
    347,739/741,409.50 = 741,409.50/x
  3. Step 3: Cross multiply
    347,739x = 741,409.50 × 741,409.50
  4. Step 4: Simplify right side
    347,739x = 549,688,046,690.25
  5. Step 5: Solve for x
    x = 549,688,046,690.25/347,739
  6. Step 6: Final answer
    x = 1,580,748.91

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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.