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Finding the Third Proportional to 488,224 and 739,221

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Solution

The third proportional to 488,224 and 739,221 is: 1,119,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,224 : 739,221 = 739,221 : x
  2. Step 2: Convert to fraction form
    488,224/739,221 = 739,221/x
  3. Step 3: Cross multiply
    488,224x = 739,221 × 739,221
  4. Step 4: Simplify right side
    488,224x = 546,447,686,841
  5. Step 5: Solve for x
    x = 546,447,686,841/488,224
  6. Step 6: Final answer
    x = 1,119,256.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.