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Finding the Third Proportional to 470,113 and 706,214

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Solution

The third proportional to 470,113 and 706,214 is: 1,060,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,113 : 706,214 = 706,214 : x
  2. Step 2: Convert to fraction form
    470,113/706,214 = 706,214/x
  3. Step 3: Cross multiply
    470,113x = 706,214 × 706,214
  4. Step 4: Simplify right side
    470,113x = 498,738,213,796
  5. Step 5: Solve for x
    x = 498,738,213,796/470,113
  6. Step 6: Final answer
    x = 1,060,890.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.