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Finding the Third Proportional to 373,572 and 580,041

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Solution

The third proportional to 373,572 and 580,041 is: 900,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,572 : 580,041 = 580,041 : x
  2. Step 2: Convert to fraction form
    373,572/580,041 = 580,041/x
  3. Step 3: Cross multiply
    373,572x = 580,041 × 580,041
  4. Step 4: Simplify right side
    373,572x = 336,447,561,681
  5. Step 5: Solve for x
    x = 336,447,561,681/373,572
  6. Step 6: Final answer
    x = 900,623.07

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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.