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Finding the Third Proportional to 470,615.06 and 706,996.69

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Solution

The third proportional to 470,615.06 and 706,996.69 is: 1,062,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,615.06 : 706,996.69 = 706,996.69 : x
  2. Step 2: Convert to fraction form
    470,615.06/706,996.69 = 706,996.69/x
  3. Step 3: Cross multiply
    470,615.06x = 706,996.69 × 706,996.69
  4. Step 4: Simplify right side
    470,615.06x = 499,844,316,135.97
  5. Step 5: Solve for x
    x = 499,844,316,135.97/470,615.06
  6. Step 6: Final answer
    x = 1,062,108.62

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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.