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Finding the Third Proportional to 663,364 and 996,988

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Solution

The third proportional to 663,364 and 996,988 is: 1,498,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,364 : 996,988 = 996,988 : x
  2. Step 2: Convert to fraction form
    663,364/996,988 = 996,988/x
  3. Step 3: Cross multiply
    663,364x = 996,988 × 996,988
  4. Step 4: Simplify right side
    663,364x = 993,985,072,144
  5. Step 5: Solve for x
    x = 993,985,072,144/663,364
  6. Step 6: Final answer
    x = 1,498,400.69

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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.