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Finding the Third Proportional to 454,442.50 and 691,106.50

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Solution

The third proportional to 454,442.50 and 691,106.50 is: 1,051,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,442.50 : 691,106.50 = 691,106.50 : x
  2. Step 2: Convert to fraction form
    454,442.50/691,106.50 = 691,106.50/x
  3. Step 3: Cross multiply
    454,442.50x = 691,106.50 × 691,106.50
  4. Step 4: Simplify right side
    454,442.50x = 477,628,194,342.25
  5. Step 5: Solve for x
    x = 477,628,194,342.25/454,442.50
  6. Step 6: Final answer
    x = 1,051,020.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.