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Finding the Third Proportional to 241,740 and 523,656

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Solution

The third proportional to 241,740 and 523,656 is: 1,134,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,740 : 523,656 = 523,656 : x
  2. Step 2: Convert to fraction form
    241,740/523,656 = 523,656/x
  3. Step 3: Cross multiply
    241,740x = 523,656 × 523,656
  4. Step 4: Simplify right side
    241,740x = 274,215,606,336
  5. Step 5: Solve for x
    x = 274,215,606,336/241,740
  6. Step 6: Final answer
    x = 1,134,341.05

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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.