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Finding the Third Proportional to 546,322.50 and 827,106.75

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Solution

The third proportional to 546,322.50 and 827,106.75 is: 1,252,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,322.50 : 827,106.75 = 827,106.75 : x
  2. Step 2: Convert to fraction form
    546,322.50/827,106.75 = 827,106.75/x
  3. Step 3: Cross multiply
    546,322.50x = 827,106.75 × 827,106.75
  4. Step 4: Simplify right side
    546,322.50x = 684,105,575,895.56
  5. Step 5: Solve for x
    x = 684,105,575,895.56/546,322.50
  6. Step 6: Final answer
    x = 1,252,200.99

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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.