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Finding the Third Proportional to 347,743.50 and 738,132

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Solution

The third proportional to 347,743.50 and 738,132 is: 1,566,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,743.50 : 738,132 = 738,132 : x
  2. Step 2: Convert to fraction form
    347,743.50/738,132 = 738,132/x
  3. Step 3: Cross multiply
    347,743.50x = 738,132 × 738,132
  4. Step 4: Simplify right side
    347,743.50x = 544,838,849,424
  5. Step 5: Solve for x
    x = 544,838,849,424/347,743.50
  6. Step 6: Final answer
    x = 1,566,783.71

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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.