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Finding the Third Proportional to 353,919 and 770,037

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Solution

The third proportional to 353,919 and 770,037 is: 1,675,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,919 : 770,037 = 770,037 : x
  2. Step 2: Convert to fraction form
    353,919/770,037 = 770,037/x
  3. Step 3: Cross multiply
    353,919x = 770,037 × 770,037
  4. Step 4: Simplify right side
    353,919x = 592,956,981,369
  5. Step 5: Solve for x
    x = 592,956,981,369/353,919
  6. Step 6: Final answer
    x = 1,675,403.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.