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Finding the Third Proportional to 334,229.25 and 493,972.50

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Solution

The third proportional to 334,229.25 and 493,972.50 is: 730,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,229.25 : 493,972.50 = 493,972.50 : x
  2. Step 2: Convert to fraction form
    334,229.25/493,972.50 = 493,972.50/x
  3. Step 3: Cross multiply
    334,229.25x = 493,972.50 × 493,972.50
  4. Step 4: Simplify right side
    334,229.25x = 244,008,830,756.25
  5. Step 5: Solve for x
    x = 244,008,830,756.25/334,229.25
  6. Step 6: Final answer
    x = 730,064.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.