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Finding the Third Proportional to 348,634.13 and 532,969.03

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Solution

The third proportional to 348,634.13 and 532,969.03 is: 814,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,634.13 : 532,969.03 = 532,969.03 : x
  2. Step 2: Convert to fraction form
    348,634.13/532,969.03 = 532,969.03/x
  3. Step 3: Cross multiply
    348,634.13x = 532,969.03 × 532,969.03
  4. Step 4: Simplify right side
    348,634.13x = 284,055,988,271.56
  5. Step 5: Solve for x
    x = 284,055,988,271.56/348,634.13
  6. Step 6: Final answer
    x = 814,768.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.