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Finding the Third Proportional to 569,845.13 and 902,334.94

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Solution

The third proportional to 569,845.13 and 902,334.94 is: 1,428,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,845.13 : 902,334.94 = 902,334.94 : x
  2. Step 2: Convert to fraction form
    569,845.13/902,334.94 = 902,334.94/x
  3. Step 3: Cross multiply
    569,845.13x = 902,334.94 × 902,334.94
  4. Step 4: Simplify right side
    569,845.13x = 814,208,339,433.13
  5. Step 5: Solve for x
    x = 814,208,339,433.13/569,845.13
  6. Step 6: Final answer
    x = 1,428,823.91

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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.