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Finding the Third Proportional to 395,784 and 933,373.50

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Solution

The third proportional to 395,784 and 933,373.50 is: 2,201,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,784 : 933,373.50 = 933,373.50 : x
  2. Step 2: Convert to fraction form
    395,784/933,373.50 = 933,373.50/x
  3. Step 3: Cross multiply
    395,784x = 933,373.50 × 933,373.50
  4. Step 4: Simplify right side
    395,784x = 871,186,090,502.25
  5. Step 5: Solve for x
    x = 871,186,090,502.25/395,784
  6. Step 6: Final answer
    x = 2,201,165.51

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.