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Finding the Third Proportional to 474,690 and 712,129.50

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Solution

The third proportional to 474,690 and 712,129.50 is: 1,068,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,690 : 712,129.50 = 712,129.50 : x
  2. Step 2: Convert to fraction form
    474,690/712,129.50 = 712,129.50/x
  3. Step 3: Cross multiply
    474,690x = 712,129.50 × 712,129.50
  4. Step 4: Simplify right side
    474,690x = 507,128,424,770.25
  5. Step 5: Solve for x
    x = 507,128,424,770.25/474,690
  6. Step 6: Final answer
    x = 1,068,336.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.