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Finding the Third Proportional to 297,768 and 649,071

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Solution

The third proportional to 297,768 and 649,071 is: 1,414,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,768 : 649,071 = 649,071 : x
  2. Step 2: Convert to fraction form
    297,768/649,071 = 649,071/x
  3. Step 3: Cross multiply
    297,768x = 649,071 × 649,071
  4. Step 4: Simplify right side
    297,768x = 421,293,163,041
  5. Step 5: Solve for x
    x = 421,293,163,041/297,768
  6. Step 6: Final answer
    x = 1,414,836.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.