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Finding the Third Proportional to 358,934 and 755,050

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Solution

The third proportional to 358,934 and 755,050 is: 1,588,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,934 : 755,050 = 755,050 : x
  2. Step 2: Convert to fraction form
    358,934/755,050 = 755,050/x
  3. Step 3: Cross multiply
    358,934x = 755,050 × 755,050
  4. Step 4: Simplify right side
    358,934x = 570,100,502,500
  5. Step 5: Solve for x
    x = 570,100,502,500/358,934
  6. Step 6: Final answer
    x = 1,588,315.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.