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Finding the Third Proportional to 347,733 and 738,112.50

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Solution

The third proportional to 347,733 and 738,112.50 is: 1,566,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,733 : 738,112.50 = 738,112.50 : x
  2. Step 2: Convert to fraction form
    347,733/738,112.50 = 738,112.50/x
  3. Step 3: Cross multiply
    347,733x = 738,112.50 × 738,112.50
  4. Step 4: Simplify right side
    347,733x = 544,810,062,656.25
  5. Step 5: Solve for x
    x = 544,810,062,656.25/347,733
  6. Step 6: Final answer
    x = 1,566,748.23

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.