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Finding the Third Proportional to 247,365 and 529,710

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Solution

The third proportional to 247,365 and 529,710 is: 1,134,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,365 : 529,710 = 529,710 : x
  2. Step 2: Convert to fraction form
    247,365/529,710 = 529,710/x
  3. Step 3: Cross multiply
    247,365x = 529,710 × 529,710
  4. Step 4: Simplify right side
    247,365x = 280,592,684,100
  5. Step 5: Solve for x
    x = 280,592,684,100/247,365
  6. Step 6: Final answer
    x = 1,134,326.54

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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.