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Finding the Third Proportional to 623,120 and 933,628

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Solution

The third proportional to 623,120 and 933,628 is: 1,398,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,120 : 933,628 = 933,628 : x
  2. Step 2: Convert to fraction form
    623,120/933,628 = 933,628/x
  3. Step 3: Cross multiply
    623,120x = 933,628 × 933,628
  4. Step 4: Simplify right side
    623,120x = 871,661,242,384
  5. Step 5: Solve for x
    x = 871,661,242,384/623,120
  6. Step 6: Final answer
    x = 1,398,865.78

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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.