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Finding the Third Proportional to 470,614 and 706,994

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Solution

The third proportional to 470,614 and 706,994 is: 1,062,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,614 : 706,994 = 706,994 : x
  2. Step 2: Convert to fraction form
    470,614/706,994 = 706,994/x
  3. Step 3: Cross multiply
    470,614x = 706,994 × 706,994
  4. Step 4: Simplify right side
    470,614x = 499,840,516,036
  5. Step 5: Solve for x
    x = 499,840,516,036/470,614
  6. Step 6: Final answer
    x = 1,062,102.95

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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.