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Finding the Third Proportional to 467,316 and 665,982

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Solution

The third proportional to 467,316 and 665,982 is: 949,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,316 : 665,982 = 665,982 : x
  2. Step 2: Convert to fraction form
    467,316/665,982 = 665,982/x
  3. Step 3: Cross multiply
    467,316x = 665,982 × 665,982
  4. Step 4: Simplify right side
    467,316x = 443,532,024,324
  5. Step 5: Solve for x
    x = 443,532,024,324/467,316
  6. Step 6: Final answer
    x = 949,105.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.