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Finding the Third Proportional to 439,064 and 662,056

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Solution

The third proportional to 439,064 and 662,056 is: 998,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,064 : 662,056 = 662,056 : x
  2. Step 2: Convert to fraction form
    439,064/662,056 = 662,056/x
  3. Step 3: Cross multiply
    439,064x = 662,056 × 662,056
  4. Step 4: Simplify right side
    439,064x = 438,318,147,136
  5. Step 5: Solve for x
    x = 438,318,147,136/439,064
  6. Step 6: Final answer
    x = 998,301.27

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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.