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Finding the Third Proportional to 332,359.88 and 724,852.13

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Solution

The third proportional to 332,359.88 and 724,852.13 is: 1,580,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,359.88 : 724,852.13 = 724,852.13 : x
  2. Step 2: Convert to fraction form
    332,359.88/724,852.13 = 724,852.13/x
  3. Step 3: Cross multiply
    332,359.88x = 724,852.13 × 724,852.13
  4. Step 4: Simplify right side
    332,359.88x = 525,410,603,117.02
  5. Step 5: Solve for x
    x = 525,410,603,117.02/332,359.88
  6. Step 6: Final answer
    x = 1,580,848.48

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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.