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Finding the Third Proportional to 526,037 and 769,368

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Solution

The third proportional to 526,037 and 769,368 is: 1,125,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,037 : 769,368 = 769,368 : x
  2. Step 2: Convert to fraction form
    526,037/769,368 = 769,368/x
  3. Step 3: Cross multiply
    526,037x = 769,368 × 769,368
  4. Step 4: Simplify right side
    526,037x = 591,927,119,424
  5. Step 5: Solve for x
    x = 591,927,119,424/526,037
  6. Step 6: Final answer
    x = 1,125,257.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.