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Finding the Third Proportional to 585,903.38 and 885,157.88

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Solution

The third proportional to 585,903.38 and 885,157.88 is: 1,337,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,903.38 : 885,157.88 = 885,157.88 : x
  2. Step 2: Convert to fraction form
    585,903.38/885,157.88 = 885,157.88/x
  3. Step 3: Cross multiply
    585,903.38x = 885,157.88 × 885,157.88
  4. Step 4: Simplify right side
    585,903.38x = 783,504,463,674.52
  5. Step 5: Solve for x
    x = 783,504,463,674.52/585,903.38
  6. Step 6: Final answer
    x = 1,337,258.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.