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Finding the Third Proportional to 470,755.13 and 684,262.69

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Solution

The third proportional to 470,755.13 and 684,262.69 is: 994,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,755.13 : 684,262.69 = 684,262.69 : x
  2. Step 2: Convert to fraction form
    470,755.13/684,262.69 = 684,262.69/x
  3. Step 3: Cross multiply
    470,755.13x = 684,262.69 × 684,262.69
  4. Step 4: Simplify right side
    470,755.13x = 468,215,425,504.72
  5. Step 5: Solve for x
    x = 468,215,425,504.72/470,755.13
  6. Step 6: Final answer
    x = 994,605.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.