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Finding the Third Proportional to 624,276 and 934,704

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Solution

The third proportional to 624,276 and 934,704 is: 1,399,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,276 : 934,704 = 934,704 : x
  2. Step 2: Convert to fraction form
    624,276/934,704 = 934,704/x
  3. Step 3: Cross multiply
    624,276x = 934,704 × 934,704
  4. Step 4: Simplify right side
    624,276x = 873,671,567,616
  5. Step 5: Solve for x
    x = 873,671,567,616/624,276
  6. Step 6: Final answer
    x = 1,399,495.68

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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.