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Finding the Third Proportional to 633,724 and 922,050

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Solution

The third proportional to 633,724 and 922,050 is: 1,341,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,724 : 922,050 = 922,050 : x
  2. Step 2: Convert to fraction form
    633,724/922,050 = 922,050/x
  3. Step 3: Cross multiply
    633,724x = 922,050 × 922,050
  4. Step 4: Simplify right side
    633,724x = 850,176,202,500
  5. Step 5: Solve for x
    x = 850,176,202,500/633,724
  6. Step 6: Final answer
    x = 1,341,555.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.