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Finding the Third Proportional to 341,762 and 734,116

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Solution

The third proportional to 341,762 and 734,116 is: 1,576,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,762 : 734,116 = 734,116 : x
  2. Step 2: Convert to fraction form
    341,762/734,116 = 734,116/x
  3. Step 3: Cross multiply
    341,762x = 734,116 × 734,116
  4. Step 4: Simplify right side
    341,762x = 538,926,301,456
  5. Step 5: Solve for x
    x = 538,926,301,456/341,762
  6. Step 6: Final answer
    x = 1,576,905.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.