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Finding the Third Proportional to 332,901.44 and 719,007.50

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Solution

The third proportional to 332,901.44 and 719,007.50 is: 1,552,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,901.44 : 719,007.50 = 719,007.50 : x
  2. Step 2: Convert to fraction form
    332,901.44/719,007.50 = 719,007.50/x
  3. Step 3: Cross multiply
    332,901.44x = 719,007.50 × 719,007.50
  4. Step 4: Simplify right side
    332,901.44x = 516,971,785,056.25
  5. Step 5: Solve for x
    x = 516,971,785,056.25/332,901.44
  6. Step 6: Final answer
    x = 1,552,927.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.