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Finding the Third Proportional to 344,166.47 and 738,155.53

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Solution

The third proportional to 344,166.47 and 738,155.53 is: 1,583,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,166.47 : 738,155.53 = 738,155.53 : x
  2. Step 2: Convert to fraction form
    344,166.47/738,155.53 = 738,155.53/x
  3. Step 3: Cross multiply
    344,166.47x = 738,155.53 × 738,155.53
  4. Step 4: Simplify right side
    344,166.47x = 544,873,588,314.97
  5. Step 5: Solve for x
    x = 544,873,588,314.97/344,166.47
  6. Step 6: Final answer
    x = 1,583,168.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.