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Finding the Third Proportional to 241,741 and 523,658

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Solution

The third proportional to 241,741 and 523,658 is: 1,134,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,741 : 523,658 = 523,658 : x
  2. Step 2: Convert to fraction form
    241,741/523,658 = 523,658/x
  3. Step 3: Cross multiply
    241,741x = 523,658 × 523,658
  4. Step 4: Simplify right side
    241,741x = 274,217,700,964
  5. Step 5: Solve for x
    x = 274,217,700,964/241,741
  6. Step 6: Final answer
    x = 1,134,345.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.