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Finding the Third Proportional to 535,951 and 853,126.50

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Solution

The third proportional to 535,951 and 853,126.50 is: 1,358,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,951 : 853,126.50 = 853,126.50 : x
  2. Step 2: Convert to fraction form
    535,951/853,126.50 = 853,126.50/x
  3. Step 3: Cross multiply
    535,951x = 853,126.50 × 853,126.50
  4. Step 4: Simplify right side
    535,951x = 727,824,825,002.25
  5. Step 5: Solve for x
    x = 727,824,825,002.25/535,951
  6. Step 6: Final answer
    x = 1,358,006.28

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