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Finding the Third Proportional to 353,911.50 and 763,875

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Solution

The third proportional to 353,911.50 and 763,875 is: 1,648,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,911.50 : 763,875 = 763,875 : x
  2. Step 2: Convert to fraction form
    353,911.50/763,875 = 763,875/x
  3. Step 3: Cross multiply
    353,911.50x = 763,875 × 763,875
  4. Step 4: Simplify right side
    353,911.50x = 583,505,015,625
  5. Step 5: Solve for x
    x = 583,505,015,625/353,911.50
  6. Step 6: Final answer
    x = 1,648,731.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.