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Finding the Third Proportional to 250,446 and 375,777

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Solution

The third proportional to 250,446 and 375,777 is: 563,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,446 : 375,777 = 375,777 : x
  2. Step 2: Convert to fraction form
    250,446/375,777 = 375,777/x
  3. Step 3: Cross multiply
    250,446x = 375,777 × 375,777
  4. Step 4: Simplify right side
    250,446x = 141,208,353,729
  5. Step 5: Solve for x
    x = 141,208,353,729/250,446
  6. Step 6: Final answer
    x = 563,827.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.