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Finding the Third Proportional to 307,556 and 413,832

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Solution

The third proportional to 307,556 and 413,832 is: 556,831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,556 : 413,832 = 413,832 : x
  2. Step 2: Convert to fraction form
    307,556/413,832 = 413,832/x
  3. Step 3: Cross multiply
    307,556x = 413,832 × 413,832
  4. Step 4: Simplify right side
    307,556x = 171,256,924,224
  5. Step 5: Solve for x
    x = 171,256,924,224/307,556
  6. Step 6: Final answer
    x = 556,831.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.