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Finding the Third Proportional to 324,915.50 and 724,539.13

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Solution

The third proportional to 324,915.50 and 724,539.13 is: 1,615,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,915.50 : 724,539.13 = 724,539.13 : x
  2. Step 2: Convert to fraction form
    324,915.50/724,539.13 = 724,539.13/x
  3. Step 3: Cross multiply
    324,915.50x = 724,539.13 × 724,539.13
  4. Step 4: Simplify right side
    324,915.50x = 524,956,943,655.77
  5. Step 5: Solve for x
    x = 524,956,943,655.77/324,915.50
  6. Step 6: Final answer
    x = 1,615,672.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.