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Finding the Third Proportional to 374,037 and 560,910

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Solution

The third proportional to 374,037 and 560,910 is: 841,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,037 : 560,910 = 560,910 : x
  2. Step 2: Convert to fraction form
    374,037/560,910 = 560,910/x
  3. Step 3: Cross multiply
    374,037x = 560,910 × 560,910
  4. Step 4: Simplify right side
    374,037x = 314,620,028,100
  5. Step 5: Solve for x
    x = 314,620,028,100/374,037
  6. Step 6: Final answer
    x = 841,146.81

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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.