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Finding the Third Proportional to 470,366 and 706,609

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Solution

The third proportional to 470,366 and 706,609 is: 1,061,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,366 : 706,609 = 706,609 : x
  2. Step 2: Convert to fraction form
    470,366/706,609 = 706,609/x
  3. Step 3: Cross multiply
    470,366x = 706,609 × 706,609
  4. Step 4: Simplify right side
    470,366x = 499,296,278,881
  5. Step 5: Solve for x
    x = 499,296,278,881/470,366
  6. Step 6: Final answer
    x = 1,061,505.89

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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.