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Finding the Third Proportional to 348,692 and 744,985

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Solution

The third proportional to 348,692 and 744,985 is: 1,591,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,692 : 744,985 = 744,985 : x
  2. Step 2: Convert to fraction form
    348,692/744,985 = 744,985/x
  3. Step 3: Cross multiply
    348,692x = 744,985 × 744,985
  4. Step 4: Simplify right side
    348,692x = 555,002,650,225
  5. Step 5: Solve for x
    x = 555,002,650,225/348,692
  6. Step 6: Final answer
    x = 1,591,670.16

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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.