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Finding the Third Proportional to 668,305.50 and 1,097,122.50

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Solution

The third proportional to 668,305.50 and 1,097,122.50 is: 1,801,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,305.50 : 1,097,122.50 = 1,097,122.50 : x
  2. Step 2: Convert to fraction form
    668,305.50/1,097,122.50 = 1,097,122.50/x
  3. Step 3: Cross multiply
    668,305.50x = 1,097,122.50 × 1,097,122.50
  4. Step 4: Simplify right side
    668,305.50x = 1,203,677,780,006.25
  5. Step 5: Solve for x
    x = 1,203,677,780,006.25/668,305.50
  6. Step 6: Final answer
    x = 1,801,089.14

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.