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Finding the Third Proportional to 241,807 and 503,238

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Solution

The third proportional to 241,807 and 503,238 is: 1,047,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,807 : 503,238 = 503,238 : x
  2. Step 2: Convert to fraction form
    241,807/503,238 = 503,238/x
  3. Step 3: Cross multiply
    241,807x = 503,238 × 503,238
  4. Step 4: Simplify right side
    241,807x = 253,248,484,644
  5. Step 5: Solve for x
    x = 253,248,484,644/241,807
  6. Step 6: Final answer
    x = 1,047,316.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.