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Finding the Third Proportional to 580,732 and 885,860

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Solution

The third proportional to 580,732 and 885,860 is: 1,351,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,732 : 885,860 = 885,860 : x
  2. Step 2: Convert to fraction form
    580,732/885,860 = 885,860/x
  3. Step 3: Cross multiply
    580,732x = 885,860 × 885,860
  4. Step 4: Simplify right side
    580,732x = 784,747,939,600
  5. Step 5: Solve for x
    x = 784,747,939,600/580,732
  6. Step 6: Final answer
    x = 1,351,308.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.