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Finding the Third Proportional to 246,328 and 526,352

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Solution

The third proportional to 246,328 and 526,352 is: 1,124,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,328 : 526,352 = 526,352 : x
  2. Step 2: Convert to fraction form
    246,328/526,352 = 526,352/x
  3. Step 3: Cross multiply
    246,328x = 526,352 × 526,352
  4. Step 4: Simplify right side
    246,328x = 277,046,427,904
  5. Step 5: Solve for x
    x = 277,046,427,904/246,328
  6. Step 6: Final answer
    x = 1,124,705.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.