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Finding the Third Proportional to 393,642.75 and 590,361

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Solution

The third proportional to 393,642.75 and 590,361 is: 885,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,642.75 : 590,361 = 590,361 : x
  2. Step 2: Convert to fraction form
    393,642.75/590,361 = 590,361/x
  3. Step 3: Cross multiply
    393,642.75x = 590,361 × 590,361
  4. Step 4: Simplify right side
    393,642.75x = 348,526,110,321
  5. Step 5: Solve for x
    x = 348,526,110,321/393,642.75
  6. Step 6: Final answer
    x = 885,386.84

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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.