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Finding the Third Proportional to 341,692 and 749,200

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Solution

The third proportional to 341,692 and 749,200 is: 1,642,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,692 : 749,200 = 749,200 : x
  2. Step 2: Convert to fraction form
    341,692/749,200 = 749,200/x
  3. Step 3: Cross multiply
    341,692x = 749,200 × 749,200
  4. Step 4: Simplify right side
    341,692x = 561,300,640,000
  5. Step 5: Solve for x
    x = 561,300,640,000/341,692
  6. Step 6: Final answer
    x = 1,642,709.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.