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Finding the Third Proportional to 344,166 and 738,154

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Solution

The third proportional to 344,166 and 738,154 is: 1,583,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,166 : 738,154 = 738,154 : x
  2. Step 2: Convert to fraction form
    344,166/738,154 = 738,154/x
  3. Step 3: Cross multiply
    344,166x = 738,154 × 738,154
  4. Step 4: Simplify right side
    344,166x = 544,871,327,716
  5. Step 5: Solve for x
    x = 544,871,327,716/344,166
  6. Step 6: Final answer
    x = 1,583,164.31

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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.