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Finding the Third Proportional to 623,100.38 and 933,610.50

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Solution

The third proportional to 623,100.38 and 933,610.50 is: 1,398,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,100.38 : 933,610.50 = 933,610.50 : x
  2. Step 2: Convert to fraction form
    623,100.38/933,610.50 = 933,610.50/x
  3. Step 3: Cross multiply
    623,100.38x = 933,610.50 × 933,610.50
  4. Step 4: Simplify right side
    623,100.38x = 871,628,565,710.25
  5. Step 5: Solve for x
    x = 871,628,565,710.25/623,100.38
  6. Step 6: Final answer
    x = 1,398,857.39

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Why These Related Problems?

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