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Finding the Third Proportional to 354,330 and 530,514

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Solution

The third proportional to 354,330 and 530,514 is: 794,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,330 : 530,514 = 530,514 : x
  2. Step 2: Convert to fraction form
    354,330/530,514 = 530,514/x
  3. Step 3: Cross multiply
    354,330x = 530,514 × 530,514
  4. Step 4: Simplify right side
    354,330x = 281,445,104,196
  5. Step 5: Solve for x
    x = 281,445,104,196/354,330
  6. Step 6: Final answer
    x = 794,302.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.