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Finding the Third Proportional to 667,072 and 998,784

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Solution

The third proportional to 667,072 and 998,784 is: 1,495,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,072 : 998,784 = 998,784 : x
  2. Step 2: Convert to fraction form
    667,072/998,784 = 998,784/x
  3. Step 3: Cross multiply
    667,072x = 998,784 × 998,784
  4. Step 4: Simplify right side
    667,072x = 997,569,478,656
  5. Step 5: Solve for x
    x = 997,569,478,656/667,072
  6. Step 6: Final answer
    x = 1,495,444.99

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Why These Related Problems?

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