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Finding the Third Proportional to 373,616 and 579,468

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Solution

The third proportional to 373,616 and 579,468 is: 898,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,616 : 579,468 = 579,468 : x
  2. Step 2: Convert to fraction form
    373,616/579,468 = 579,468/x
  3. Step 3: Cross multiply
    373,616x = 579,468 × 579,468
  4. Step 4: Simplify right side
    373,616x = 335,783,163,024
  5. Step 5: Solve for x
    x = 335,783,163,024/373,616
  6. Step 6: Final answer
    x = 898,738.71

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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.