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Finding the Third Proportional to 276,496 and 604,832

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Solution

The third proportional to 276,496 and 604,832 is: 1,323,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,496 : 604,832 = 604,832 : x
  2. Step 2: Convert to fraction form
    276,496/604,832 = 604,832/x
  3. Step 3: Cross multiply
    276,496x = 604,832 × 604,832
  4. Step 4: Simplify right side
    276,496x = 365,821,748,224
  5. Step 5: Solve for x
    x = 365,821,748,224/276,496
  6. Step 6: Final answer
    x = 1,323,063.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.