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Finding the Third Proportional to 373,574 and 580,044

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Solution

The third proportional to 373,574 and 580,044 is: 900,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,574 : 580,044 = 580,044 : x
  2. Step 2: Convert to fraction form
    373,574/580,044 = 580,044/x
  3. Step 3: Cross multiply
    373,574x = 580,044 × 580,044
  4. Step 4: Simplify right side
    373,574x = 336,451,041,936
  5. Step 5: Solve for x
    x = 336,451,041,936/373,574
  6. Step 6: Final answer
    x = 900,627.56

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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.