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Finding the Third Proportional to 307,352 and 474,660

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Solution

The third proportional to 307,352 and 474,660 is: 733,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,352 : 474,660 = 474,660 : x
  2. Step 2: Convert to fraction form
    307,352/474,660 = 474,660/x
  3. Step 3: Cross multiply
    307,352x = 474,660 × 474,660
  4. Step 4: Simplify right side
    307,352x = 225,302,115,600
  5. Step 5: Solve for x
    x = 225,302,115,600/307,352
  6. Step 6: Final answer
    x = 733,042.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.