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Finding the Third Proportional to 369,734.50 and 528,357.50

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Solution

The third proportional to 369,734.50 and 528,357.50 is: 755,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,734.50 : 528,357.50 = 528,357.50 : x
  2. Step 2: Convert to fraction form
    369,734.50/528,357.50 = 528,357.50/x
  3. Step 3: Cross multiply
    369,734.50x = 528,357.50 × 528,357.50
  4. Step 4: Simplify right side
    369,734.50x = 279,161,647,806.25
  5. Step 5: Solve for x
    x = 279,161,647,806.25/369,734.50
  6. Step 6: Final answer
    x = 755,032.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.