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Finding the Third Proportional to 569,916.50 and 902,441.50

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Solution

The third proportional to 569,916.50 and 902,441.50 is: 1,428,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,916.50 : 902,441.50 = 902,441.50 : x
  2. Step 2: Convert to fraction form
    569,916.50/902,441.50 = 902,441.50/x
  3. Step 3: Cross multiply
    569,916.50x = 902,441.50 × 902,441.50
  4. Step 4: Simplify right side
    569,916.50x = 814,400,660,922.25
  5. Step 5: Solve for x
    x = 814,400,660,922.25/569,916.50
  6. Step 6: Final answer
    x = 1,428,982.42

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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.