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Finding the Third Proportional to 247,428 and 529,848

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Solution

The third proportional to 247,428 and 529,848 is: 1,134,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,428 : 529,848 = 529,848 : x
  2. Step 2: Convert to fraction form
    247,428/529,848 = 529,848/x
  3. Step 3: Cross multiply
    247,428x = 529,848 × 529,848
  4. Step 4: Simplify right side
    247,428x = 280,738,903,104
  5. Step 5: Solve for x
    x = 280,738,903,104/247,428
  6. Step 6: Final answer
    x = 1,134,628.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.