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Finding the Third Proportional to 470,611.69 and 706,990.78

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Solution

The third proportional to 470,611.69 and 706,990.78 is: 1,062,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,611.69 : 706,990.78 = 706,990.78 : x
  2. Step 2: Convert to fraction form
    470,611.69/706,990.78 = 706,990.78/x
  3. Step 3: Cross multiply
    470,611.69x = 706,990.78 × 706,990.78
  4. Step 4: Simplify right side
    470,611.69x = 499,835,964,772.49
  5. Step 5: Solve for x
    x = 499,835,964,772.49/470,611.69
  6. Step 6: Final answer
    x = 1,062,098.49

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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.