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Finding the Third Proportional to 467,616 and 723,248

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Solution

The third proportional to 467,616 and 723,248 is: 1,118,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,616 : 723,248 = 723,248 : x
  2. Step 2: Convert to fraction form
    467,616/723,248 = 723,248/x
  3. Step 3: Cross multiply
    467,616x = 723,248 × 723,248
  4. Step 4: Simplify right side
    467,616x = 523,087,669,504
  5. Step 5: Solve for x
    x = 523,087,669,504/467,616
  6. Step 6: Final answer
    x = 1,118,626.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.