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Finding the Third Proportional to 332,514 and 526,605

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Solution

The third proportional to 332,514 and 526,605 is: 833,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,514 : 526,605 = 526,605 : x
  2. Step 2: Convert to fraction form
    332,514/526,605 = 526,605/x
  3. Step 3: Cross multiply
    332,514x = 526,605 × 526,605
  4. Step 4: Simplify right side
    332,514x = 277,312,826,025
  5. Step 5: Solve for x
    x = 277,312,826,025/332,514
  6. Step 6: Final answer
    x = 833,988.42

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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.