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Finding the Third Proportional to 307,260 and 670,797

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Solution

The third proportional to 307,260 and 670,797 is: 1,464,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,260 : 670,797 = 670,797 : x
  2. Step 2: Convert to fraction form
    307,260/670,797 = 670,797/x
  3. Step 3: Cross multiply
    307,260x = 670,797 × 670,797
  4. Step 4: Simplify right side
    307,260x = 449,968,615,209
  5. Step 5: Solve for x
    x = 449,968,615,209/307,260
  6. Step 6: Final answer
    x = 1,464,455.56

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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.