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Finding the Third Proportional to 253,392 and 553,848

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Solution

The third proportional to 253,392 and 553,848 is: 1,210,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,392 : 553,848 = 553,848 : x
  2. Step 2: Convert to fraction form
    253,392/553,848 = 553,848/x
  3. Step 3: Cross multiply
    253,392x = 553,848 × 553,848
  4. Step 4: Simplify right side
    253,392x = 306,747,607,104
  5. Step 5: Solve for x
    x = 306,747,607,104/253,392
  6. Step 6: Final answer
    x = 1,210,565.48

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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.