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Finding the Third Proportional to 624,901 and 933,261

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Solution

The third proportional to 624,901 and 933,261 is: 1,393,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,901 : 933,261 = 933,261 : x
  2. Step 2: Convert to fraction form
    624,901/933,261 = 933,261/x
  3. Step 3: Cross multiply
    624,901x = 933,261 × 933,261
  4. Step 4: Simplify right side
    624,901x = 870,976,094,121
  5. Step 5: Solve for x
    x = 870,976,094,121/624,901
  6. Step 6: Final answer
    x = 1,393,782.53

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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.