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Finding the Third Proportional to 241,760 and 526,532

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Solution

The third proportional to 241,760 and 526,532 is: 1,146,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,760 : 526,532 = 526,532 : x
  2. Step 2: Convert to fraction form
    241,760/526,532 = 526,532/x
  3. Step 3: Cross multiply
    241,760x = 526,532 × 526,532
  4. Step 4: Simplify right side
    241,760x = 277,235,947,024
  5. Step 5: Solve for x
    x = 277,235,947,024/241,760
  6. Step 6: Final answer
    x = 1,146,740.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.