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Finding the Third Proportional to 241,814 and 375,695

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Solution

The third proportional to 241,814 and 375,695 is: 583,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,814 : 375,695 = 375,695 : x
  2. Step 2: Convert to fraction form
    241,814/375,695 = 375,695/x
  3. Step 3: Cross multiply
    241,814x = 375,695 × 375,695
  4. Step 4: Simplify right side
    241,814x = 141,146,733,025
  5. Step 5: Solve for x
    x = 141,146,733,025/241,814
  6. Step 6: Final answer
    x = 583,699.59

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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.