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Finding the Third Proportional to 461,037 and 712,003.50

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Solution

The third proportional to 461,037 and 712,003.50 is: 1,099,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,037 : 712,003.50 = 712,003.50 : x
  2. Step 2: Convert to fraction form
    461,037/712,003.50 = 712,003.50/x
  3. Step 3: Cross multiply
    461,037x = 712,003.50 × 712,003.50
  4. Step 4: Simplify right side
    461,037x = 506,948,984,012.25
  5. Step 5: Solve for x
    x = 506,948,984,012.25/461,037
  6. Step 6: Final answer
    x = 1,099,584.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.