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Finding the Third Proportional to 241,762 and 526,536

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Solution

The third proportional to 241,762 and 526,536 is: 1,146,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,762 : 526,536 = 526,536 : x
  2. Step 2: Convert to fraction form
    241,762/526,536 = 526,536/x
  3. Step 3: Cross multiply
    241,762x = 526,536 × 526,536
  4. Step 4: Simplify right side
    241,762x = 277,240,159,296
  5. Step 5: Solve for x
    x = 277,240,159,296/241,762
  6. Step 6: Final answer
    x = 1,146,748.29

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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.