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Finding the Third Proportional to 393,673.50 and 590,404.50

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Solution

The third proportional to 393,673.50 and 590,404.50 is: 885,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,673.50 : 590,404.50 = 590,404.50 : x
  2. Step 2: Convert to fraction form
    393,673.50/590,404.50 = 590,404.50/x
  3. Step 3: Cross multiply
    393,673.50x = 590,404.50 × 590,404.50
  4. Step 4: Simplify right side
    393,673.50x = 348,577,473,620.25
  5. Step 5: Solve for x
    x = 348,577,473,620.25/393,673.50
  6. Step 6: Final answer
    x = 885,448.15

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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.