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Finding the Third Proportional to 515,346.75 and 778,668.75

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Solution

The third proportional to 515,346.75 and 778,668.75 is: 1,176,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,346.75 : 778,668.75 = 778,668.75 : x
  2. Step 2: Convert to fraction form
    515,346.75/778,668.75 = 778,668.75/x
  3. Step 3: Cross multiply
    515,346.75x = 778,668.75 × 778,668.75
  4. Step 4: Simplify right side
    515,346.75x = 606,325,022,226.56
  5. Step 5: Solve for x
    x = 606,325,022,226.56/515,346.75
  6. Step 6: Final answer
    x = 1,176,537.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.