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Finding the Third Proportional to 624,908 and 933,272

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Solution

The third proportional to 624,908 and 933,272 is: 1,393,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,908 : 933,272 = 933,272 : x
  2. Step 2: Convert to fraction form
    624,908/933,272 = 933,272/x
  3. Step 3: Cross multiply
    624,908x = 933,272 × 933,272
  4. Step 4: Simplify right side
    624,908x = 870,996,625,984
  5. Step 5: Solve for x
    x = 870,996,625,984/624,908
  6. Step 6: Final answer
    x = 1,393,799.77

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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.