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Finding the Third Proportional to 373,914 and 580,076

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Solution

The third proportional to 373,914 and 580,076 is: 899,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,914 : 580,076 = 580,076 : x
  2. Step 2: Convert to fraction form
    373,914/580,076 = 580,076/x
  3. Step 3: Cross multiply
    373,914x = 580,076 × 580,076
  4. Step 4: Simplify right side
    373,914x = 336,488,165,776
  5. Step 5: Solve for x
    x = 336,488,165,776/373,914
  6. Step 6: Final answer
    x = 899,907.91

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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.