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Finding the Third Proportional to 683,484.75 and 1,061,032.50

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Solution

The third proportional to 683,484.75 and 1,061,032.50 is: 1,647,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,484.75 : 1,061,032.50 = 1,061,032.50 : x
  2. Step 2: Convert to fraction form
    683,484.75/1,061,032.50 = 1,061,032.50/x
  3. Step 3: Cross multiply
    683,484.75x = 1,061,032.50 × 1,061,032.50
  4. Step 4: Simplify right side
    683,484.75x = 1,125,789,966,056.25
  5. Step 5: Solve for x
    x = 1,125,789,966,056.25/683,484.75
  6. Step 6: Final answer
    x = 1,647,132.53

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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.