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Finding the Third Proportional to 354,300.75 and 538,012.13

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Solution

The third proportional to 354,300.75 and 538,012.13 is: 816,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,300.75 : 538,012.13 = 538,012.13 : x
  2. Step 2: Convert to fraction form
    354,300.75/538,012.13 = 538,012.13/x
  3. Step 3: Cross multiply
    354,300.75x = 538,012.13 × 538,012.13
  4. Step 4: Simplify right side
    354,300.75x = 289,457,046,647.02
  5. Step 5: Solve for x
    x = 289,457,046,647.02/354,300.75
  6. Step 6: Final answer
    x = 816,981.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.