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Finding the Third Proportional to 353,728.50 and 763,475

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Solution

The third proportional to 353,728.50 and 763,475 is: 1,647,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,728.50 : 763,475 = 763,475 : x
  2. Step 2: Convert to fraction form
    353,728.50/763,475 = 763,475/x
  3. Step 3: Cross multiply
    353,728.50x = 763,475 × 763,475
  4. Step 4: Simplify right side
    353,728.50x = 582,894,075,625
  5. Step 5: Solve for x
    x = 582,894,075,625/353,728.50
  6. Step 6: Final answer
    x = 1,647,857.26

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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.