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Finding the Third Proportional to 306,278,739 and 470,770,299

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Solution

The third proportional to 306,278,739 and 470,770,299 is: 723,604,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,278,739 : 470,770,299 = 470,770,299 : x
  2. Step 2: Convert to fraction form
    306,278,739/470,770,299 = 470,770,299/x
  3. Step 3: Cross multiply
    306,278,739x = 470,770,299 × 470,770,299
  4. Step 4: Simplify right side
    306,278,739x = 221,624,674,420,549,408
  5. Step 5: Solve for x
    x = 221,624,674,420,549,408/306,278,739
  6. Step 6: Final answer
    x = 723,604,502.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.