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Finding the Third Proportional to 338,177 and 506,334

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Solution

The third proportional to 338,177 and 506,334 is: 758,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,177 : 506,334 = 506,334 : x
  2. Step 2: Convert to fraction form
    338,177/506,334 = 506,334/x
  3. Step 3: Cross multiply
    338,177x = 506,334 × 506,334
  4. Step 4: Simplify right side
    338,177x = 256,374,119,556
  5. Step 5: Solve for x
    x = 256,374,119,556/338,177
  6. Step 6: Final answer
    x = 758,106.32

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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.