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Finding the Third Proportional to 470,616.75 and 706,998

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Solution

The third proportional to 470,616.75 and 706,998 is: 1,062,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,616.75 : 706,998 = 706,998 : x
  2. Step 2: Convert to fraction form
    470,616.75/706,998 = 706,998/x
  3. Step 3: Cross multiply
    470,616.75x = 706,998 × 706,998
  4. Step 4: Simplify right side
    470,616.75x = 499,846,172,004
  5. Step 5: Solve for x
    x = 499,846,172,004/470,616.75
  6. Step 6: Final answer
    x = 1,062,108.76

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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.