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Finding the Third Proportional to 352,125.75 and 528,264.56

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Solution

The third proportional to 352,125.75 and 528,264.56 is: 792,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,125.75 : 528,264.56 = 528,264.56 : x
  2. Step 2: Convert to fraction form
    352,125.75/528,264.56 = 528,264.56/x
  3. Step 3: Cross multiply
    352,125.75x = 528,264.56 × 528,264.56
  4. Step 4: Simplify right side
    352,125.75x = 279,063,447,993.32
  5. Step 5: Solve for x
    x = 279,063,447,993.32/352,125.75
  6. Step 6: Final answer
    x = 792,510.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.