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Finding the Third Proportional to 666,335.25 and 974,512.13

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Solution

The third proportional to 666,335.25 and 974,512.13 is: 1,425,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,335.25 : 974,512.13 = 974,512.13 : x
  2. Step 2: Convert to fraction form
    666,335.25/974,512.13 = 974,512.13/x
  3. Step 3: Cross multiply
    666,335.25x = 974,512.13 × 974,512.13
  4. Step 4: Simplify right side
    666,335.25x = 949,673,881,772.02
  5. Step 5: Solve for x
    x = 949,673,881,772.02/666,335.25
  6. Step 6: Final answer
    x = 1,425,219.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.