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Finding the Third Proportional to 279,776 and 604,224

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Solution

The third proportional to 279,776 and 604,224 is: 1,304,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,776 : 604,224 = 604,224 : x
  2. Step 2: Convert to fraction form
    279,776/604,224 = 604,224/x
  3. Step 3: Cross multiply
    279,776x = 604,224 × 604,224
  4. Step 4: Simplify right side
    279,776x = 365,086,642,176
  5. Step 5: Solve for x
    x = 365,086,642,176/279,776
  6. Step 6: Final answer
    x = 1,304,924.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.