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Finding the Third Proportional to 348,403.50 and 763,200

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Solution

The third proportional to 348,403.50 and 763,200 is: 1,671,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,403.50 : 763,200 = 763,200 : x
  2. Step 2: Convert to fraction form
    348,403.50/763,200 = 763,200/x
  3. Step 3: Cross multiply
    348,403.50x = 763,200 × 763,200
  4. Step 4: Simplify right side
    348,403.50x = 582,474,240,000
  5. Step 5: Solve for x
    x = 582,474,240,000/348,403.50
  6. Step 6: Final answer
    x = 1,671,838.08

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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.