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Finding the Third Proportional to 386,060 and 590,571

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Solution

The third proportional to 386,060 and 590,571 is: 903,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,060 : 590,571 = 590,571 : x
  2. Step 2: Convert to fraction form
    386,060/590,571 = 590,571/x
  3. Step 3: Cross multiply
    386,060x = 590,571 × 590,571
  4. Step 4: Simplify right side
    386,060x = 348,774,106,041
  5. Step 5: Solve for x
    x = 348,774,106,041/386,060
  6. Step 6: Final answer
    x = 903,419.43

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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.