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Finding the Third Proportional to 330,938.25 and 722,566.50

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Solution

The third proportional to 330,938.25 and 722,566.50 is: 1,577,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,938.25 : 722,566.50 = 722,566.50 : x
  2. Step 2: Convert to fraction form
    330,938.25/722,566.50 = 722,566.50/x
  3. Step 3: Cross multiply
    330,938.25x = 722,566.50 × 722,566.50
  4. Step 4: Simplify right side
    330,938.25x = 522,102,346,922.25
  5. Step 5: Solve for x
    x = 522,102,346,922.25/330,938.25
  6. Step 6: Final answer
    x = 1,577,642.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.