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Finding the Third Proportional to 344,972.67 and 529,531.17

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Solution

The third proportional to 344,972.67 and 529,531.17 is: 812,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,972.67 : 529,531.17 = 529,531.17 : x
  2. Step 2: Convert to fraction form
    344,972.67/529,531.17 = 529,531.17/x
  3. Step 3: Cross multiply
    344,972.67x = 529,531.17 × 529,531.17
  4. Step 4: Simplify right side
    344,972.67x = 280,403,261,987.31
  5. Step 5: Solve for x
    x = 280,403,261,987.31/344,972.67
  6. Step 6: Final answer
    x = 812,827.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.