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Finding the Third Proportional to 354,721.50 and 535,762.50

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Solution

The third proportional to 354,721.50 and 535,762.50 is: 809,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,721.50 : 535,762.50 = 535,762.50 : x
  2. Step 2: Convert to fraction form
    354,721.50/535,762.50 = 535,762.50/x
  3. Step 3: Cross multiply
    354,721.50x = 535,762.50 × 535,762.50
  4. Step 4: Simplify right side
    354,721.50x = 287,041,456,406.25
  5. Step 5: Solve for x
    x = 287,041,456,406.25/354,721.50
  6. Step 6: Final answer
    x = 809,202.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.