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Finding the Third Proportional to 492,715.13 and 933,908.63

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Solution

The third proportional to 492,715.13 and 933,908.63 is: 1,770,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,715.13 : 933,908.63 = 933,908.63 : x
  2. Step 2: Convert to fraction form
    492,715.13/933,908.63 = 933,908.63/x
  3. Step 3: Cross multiply
    492,715.13x = 933,908.63 × 933,908.63
  4. Step 4: Simplify right side
    492,715.13x = 872,185,319,849.39
  5. Step 5: Solve for x
    x = 872,185,319,849.39/492,715.13
  6. Step 6: Final answer
    x = 1,770,161.45

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.