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Finding the Third Proportional to 275,334 and 403,032

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Solution

The third proportional to 275,334 and 403,032 is: 589,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,334 : 403,032 = 403,032 : x
  2. Step 2: Convert to fraction form
    275,334/403,032 = 403,032/x
  3. Step 3: Cross multiply
    275,334x = 403,032 × 403,032
  4. Step 4: Simplify right side
    275,334x = 162,434,793,024
  5. Step 5: Solve for x
    x = 162,434,793,024/275,334
  6. Step 6: Final answer
    x = 589,955.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.