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Finding the Third Proportional to 623,100 and 933,604

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Solution

The third proportional to 623,100 and 933,604 is: 1,398,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,100 : 933,604 = 933,604 : x
  2. Step 2: Convert to fraction form
    623,100/933,604 = 933,604/x
  3. Step 3: Cross multiply
    623,100x = 933,604 × 933,604
  4. Step 4: Simplify right side
    623,100x = 871,616,428,816
  5. Step 5: Solve for x
    x = 871,616,428,816/623,100
  6. Step 6: Final answer
    x = 1,398,838.76

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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.