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Finding the Third Proportional to 246,320 and 526,336

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Solution

The third proportional to 246,320 and 526,336 is: 1,124,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,320 : 526,336 = 526,336 : x
  2. Step 2: Convert to fraction form
    246,320/526,336 = 526,336/x
  3. Step 3: Cross multiply
    246,320x = 526,336 × 526,336
  4. Step 4: Simplify right side
    246,320x = 277,029,584,896
  5. Step 5: Solve for x
    x = 277,029,584,896/246,320
  6. Step 6: Final answer
    x = 1,124,673.53

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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.