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Finding the Third Proportional to 245,192 and 529,089

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Solution

The third proportional to 245,192 and 529,089 is: 1,141,697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,192 : 529,089 = 529,089 : x
  2. Step 2: Convert to fraction form
    245,192/529,089 = 529,089/x
  3. Step 3: Cross multiply
    245,192x = 529,089 × 529,089
  4. Step 4: Simplify right side
    245,192x = 279,935,169,921
  5. Step 5: Solve for x
    x = 279,935,169,921/245,192
  6. Step 6: Final answer
    x = 1,141,697.81

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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.