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Finding the Third Proportional to 332,898.75 and 719,001.56

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Solution

The third proportional to 332,898.75 and 719,001.56 is: 1,552,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,898.75 : 719,001.56 = 719,001.56 : x
  2. Step 2: Convert to fraction form
    332,898.75/719,001.56 = 719,001.56/x
  3. Step 3: Cross multiply
    332,898.75x = 719,001.56 × 719,001.56
  4. Step 4: Simplify right side
    332,898.75x = 516,963,246,877.44
  5. Step 5: Solve for x
    x = 516,963,246,877.44/332,898.75
  6. Step 6: Final answer
    x = 1,552,914.35

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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.