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Finding the Third Proportional to 242,784 and 529,848

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Solution

The third proportional to 242,784 and 529,848 is: 1,156,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,784 : 529,848 = 529,848 : x
  2. Step 2: Convert to fraction form
    242,784/529,848 = 529,848/x
  3. Step 3: Cross multiply
    242,784x = 529,848 × 529,848
  4. Step 4: Simplify right side
    242,784x = 280,738,903,104
  5. Step 5: Solve for x
    x = 280,738,903,104/242,784
  6. Step 6: Final answer
    x = 1,156,331.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.