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Finding the Third Proportional to 307,973 and 460,704

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Solution

The third proportional to 307,973 and 460,704 is: 689,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,973 : 460,704 = 460,704 : x
  2. Step 2: Convert to fraction form
    307,973/460,704 = 460,704/x
  3. Step 3: Cross multiply
    307,973x = 460,704 × 460,704
  4. Step 4: Simplify right side
    307,973x = 212,248,175,616
  5. Step 5: Solve for x
    x = 212,248,175,616/307,973
  6. Step 6: Final answer
    x = 689,177.87

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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.