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Finding the Third Proportional to 251,644 and 529,258

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Solution

The third proportional to 251,644 and 529,258 is: 1,113,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,644 : 529,258 = 529,258 : x
  2. Step 2: Convert to fraction form
    251,644/529,258 = 529,258/x
  3. Step 3: Cross multiply
    251,644x = 529,258 × 529,258
  4. Step 4: Simplify right side
    251,644x = 280,114,030,564
  5. Step 5: Solve for x
    x = 280,114,030,564/251,644
  6. Step 6: Final answer
    x = 1,113,136.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.