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Finding the Third Proportional to 535,949.25 and 853,124.25

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Solution

The third proportional to 535,949.25 and 853,124.25 is: 1,358,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,949.25 : 853,124.25 = 853,124.25 : x
  2. Step 2: Convert to fraction form
    535,949.25/853,124.25 = 853,124.25/x
  3. Step 3: Cross multiply
    535,949.25x = 853,124.25 × 853,124.25
  4. Step 4: Simplify right side
    535,949.25x = 727,820,985,938.06
  5. Step 5: Solve for x
    x = 727,820,985,938.06/535,949.25
  6. Step 6: Final answer
    x = 1,358,003.55

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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.