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Finding the Third Proportional to 689,566.50 and 1,070,435.25

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Solution

The third proportional to 689,566.50 and 1,070,435.25 is: 1,661,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,566.50 : 1,070,435.25 = 1,070,435.25 : x
  2. Step 2: Convert to fraction form
    689,566.50/1,070,435.25 = 1,070,435.25/x
  3. Step 3: Cross multiply
    689,566.50x = 1,070,435.25 × 1,070,435.25
  4. Step 4: Simplify right side
    689,566.50x = 1,145,831,624,442.56
  5. Step 5: Solve for x
    x = 1,145,831,624,442.56/689,566.50
  6. Step 6: Final answer
    x = 1,661,669.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.