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Finding the Third Proportional to 546,698.25 and 1,183,252.50

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Solution

The third proportional to 546,698.25 and 1,183,252.50 is: 2,560,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,698.25 : 1,183,252.50 = 1,183,252.50 : x
  2. Step 2: Convert to fraction form
    546,698.25/1,183,252.50 = 1,183,252.50/x
  3. Step 3: Cross multiply
    546,698.25x = 1,183,252.50 × 1,183,252.50
  4. Step 4: Simplify right side
    546,698.25x = 1,400,086,478,756.25
  5. Step 5: Solve for x
    x = 1,400,086,478,756.25/546,698.25
  6. Step 6: Final answer
    x = 2,560,985.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.