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Finding the Third Proportional to 470,115 and 706,217

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Solution

The third proportional to 470,115 and 706,217 is: 1,060,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,115 : 706,217 = 706,217 : x
  2. Step 2: Convert to fraction form
    470,115/706,217 = 706,217/x
  3. Step 3: Cross multiply
    470,115x = 706,217 × 706,217
  4. Step 4: Simplify right side
    470,115x = 498,742,451,089
  5. Step 5: Solve for x
    x = 498,742,451,089/470,115
  6. Step 6: Final answer
    x = 1,060,894.57

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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.