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Finding the Third Proportional to 666,330.96 and 974,506.36

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Solution

The third proportional to 666,330.96 and 974,506.36 is: 1,425,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,330.96 : 974,506.36 = 974,506.36 : x
  2. Step 2: Convert to fraction form
    666,330.96/974,506.36 = 974,506.36/x
  3. Step 3: Cross multiply
    666,330.96x = 974,506.36 × 974,506.36
  4. Step 4: Simplify right side
    666,330.96x = 949,662,644,462.32
  5. Step 5: Solve for x
    x = 949,662,644,462.32/666,330.96
  6. Step 6: Final answer
    x = 1,425,211.64

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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.