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Finding the Third Proportional to 245,343 and 529,353

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Solution

The third proportional to 245,343 and 529,353 is: 1,142,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,343 : 529,353 = 529,353 : x
  2. Step 2: Convert to fraction form
    245,343/529,353 = 529,353/x
  3. Step 3: Cross multiply
    245,343x = 529,353 × 529,353
  4. Step 4: Simplify right side
    245,343x = 280,214,598,609
  5. Step 5: Solve for x
    x = 280,214,598,609/245,343
  6. Step 6: Final answer
    x = 1,142,134.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.