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Finding the Third Proportional to 298,056 and 645,837

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Solution

The third proportional to 298,056 and 645,837 is: 1,399,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,056 : 645,837 = 645,837 : x
  2. Step 2: Convert to fraction form
    298,056/645,837 = 645,837/x
  3. Step 3: Cross multiply
    298,056x = 645,837 × 645,837
  4. Step 4: Simplify right side
    298,056x = 417,105,430,569
  5. Step 5: Solve for x
    x = 417,105,430,569/298,056
  6. Step 6: Final answer
    x = 1,399,419.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.