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Finding the Third Proportional to 253,199 and 554,710

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Solution

The third proportional to 253,199 and 554,710 is: 1,215,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,199 : 554,710 = 554,710 : x
  2. Step 2: Convert to fraction form
    253,199/554,710 = 554,710/x
  3. Step 3: Cross multiply
    253,199x = 554,710 × 554,710
  4. Step 4: Simplify right side
    253,199x = 307,703,184,100
  5. Step 5: Solve for x
    x = 307,703,184,100/253,199
  6. Step 6: Final answer
    x = 1,215,262.24

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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.