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Finding the Third Proportional to 246,336 and 526,368

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Solution

The third proportional to 246,336 and 526,368 is: 1,124,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,336 : 526,368 = 526,368 : x
  2. Step 2: Convert to fraction form
    246,336/526,368 = 526,368/x
  3. Step 3: Cross multiply
    246,336x = 526,368 × 526,368
  4. Step 4: Simplify right side
    246,336x = 277,063,271,424
  5. Step 5: Solve for x
    x = 277,063,271,424/246,336
  6. Step 6: Final answer
    x = 1,124,737.23

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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.