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Finding the Third Proportional to 624,894.75 and 933,253.88

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Solution

The third proportional to 624,894.75 and 933,253.88 is: 1,393,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,894.75 : 933,253.88 = 933,253.88 : x
  2. Step 2: Convert to fraction form
    624,894.75/933,253.88 = 933,253.88/x
  3. Step 3: Cross multiply
    624,894.75x = 933,253.88 × 933,253.88
  4. Step 4: Simplify right side
    624,894.75x = 870,962,795,202.52
  5. Step 5: Solve for x
    x = 870,962,795,202.52/624,894.75
  6. Step 6: Final answer
    x = 1,393,775.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.