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Finding the Third Proportional to 344,153 and 738,114

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Solution

The third proportional to 344,153 and 738,114 is: 1,583,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,153 : 738,114 = 738,114 : x
  2. Step 2: Convert to fraction form
    344,153/738,114 = 738,114/x
  3. Step 3: Cross multiply
    344,153x = 738,114 × 738,114
  4. Step 4: Simplify right side
    344,153x = 544,812,276,996
  5. Step 5: Solve for x
    x = 544,812,276,996/344,153
  6. Step 6: Final answer
    x = 1,583,052.53

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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.