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Finding the Third Proportional to 332,469 and 526,537

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Solution

The third proportional to 332,469 and 526,537 is: 833,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,469 : 526,537 = 526,537 : x
  2. Step 2: Convert to fraction form
    332,469/526,537 = 526,537/x
  3. Step 3: Cross multiply
    332,469x = 526,537 × 526,537
  4. Step 4: Simplify right side
    332,469x = 277,241,212,369
  5. Step 5: Solve for x
    x = 277,241,212,369/332,469
  6. Step 6: Final answer
    x = 833,885.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.