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Finding the Third Proportional to 241,454 and 542,236

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Solution

The third proportional to 241,454 and 542,236 is: 1,217,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,454 : 542,236 = 542,236 : x
  2. Step 2: Convert to fraction form
    241,454/542,236 = 542,236/x
  3. Step 3: Cross multiply
    241,454x = 542,236 × 542,236
  4. Step 4: Simplify right side
    241,454x = 294,019,879,696
  5. Step 5: Solve for x
    x = 294,019,879,696/241,454
  6. Step 6: Final answer
    x = 1,217,705.57

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.