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Finding the Third Proportional to 535,921.50 and 853,082.25

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Solution

The third proportional to 535,921.50 and 853,082.25 is: 1,357,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,921.50 : 853,082.25 = 853,082.25 : x
  2. Step 2: Convert to fraction form
    535,921.50/853,082.25 = 853,082.25/x
  3. Step 3: Cross multiply
    535,921.50x = 853,082.25 × 853,082.25
  4. Step 4: Simplify right side
    535,921.50x = 727,749,325,265.06
  5. Step 5: Solve for x
    x = 727,749,325,265.06/535,921.50
  6. Step 6: Final answer
    x = 1,357,940.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.