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Finding the Third Proportional to 470,034 and 706,103

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Solution

The third proportional to 470,034 and 706,103 is: 1,060,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,034 : 706,103 = 706,103 : x
  2. Step 2: Convert to fraction form
    470,034/706,103 = 706,103/x
  3. Step 3: Cross multiply
    470,034x = 706,103 × 706,103
  4. Step 4: Simplify right side
    470,034x = 498,581,446,609
  5. Step 5: Solve for x
    x = 498,581,446,609/470,034
  6. Step 6: Final answer
    x = 1,060,734.85

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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.