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Finding the Third Proportional to 307,770 and 460,422

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Solution

The third proportional to 307,770 and 460,422 is: 688,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,770 : 460,422 = 460,422 : x
  2. Step 2: Convert to fraction form
    307,770/460,422 = 460,422/x
  3. Step 3: Cross multiply
    307,770x = 460,422 × 460,422
  4. Step 4: Simplify right side
    307,770x = 211,988,418,084
  5. Step 5: Solve for x
    x = 211,988,418,084/307,770
  6. Step 6: Final answer
    x = 688,788.44

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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.