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Finding the Third Proportional to 664,908 and 997,104

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Solution

The third proportional to 664,908 and 997,104 is: 1,495,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,908 : 997,104 = 997,104 : x
  2. Step 2: Convert to fraction form
    664,908/997,104 = 997,104/x
  3. Step 3: Cross multiply
    664,908x = 997,104 × 997,104
  4. Step 4: Simplify right side
    664,908x = 994,216,386,816
  5. Step 5: Solve for x
    x = 994,216,386,816/664,908
  6. Step 6: Final answer
    x = 1,495,269.10

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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.