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Finding the Third Proportional to 569,844.75 and 902,334.38

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Solution

The third proportional to 569,844.75 and 902,334.38 is: 1,428,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,844.75 : 902,334.38 = 902,334.38 : x
  2. Step 2: Convert to fraction form
    569,844.75/902,334.38 = 902,334.38/x
  3. Step 3: Cross multiply
    569,844.75x = 902,334.38 × 902,334.38
  4. Step 4: Simplify right side
    569,844.75x = 814,207,324,306.64
  5. Step 5: Solve for x
    x = 814,207,324,306.64/569,844.75
  6. Step 6: Final answer
    x = 1,428,823.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.