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Finding the Third Proportional to 590,880 and 886,080

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Solution

The third proportional to 590,880 and 886,080 is: 1,328,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,880 : 886,080 = 886,080 : x
  2. Step 2: Convert to fraction form
    590,880/886,080 = 886,080/x
  3. Step 3: Cross multiply
    590,880x = 886,080 × 886,080
  4. Step 4: Simplify right side
    590,880x = 785,137,766,400
  5. Step 5: Solve for x
    x = 785,137,766,400/590,880
  6. Step 6: Final answer
    x = 1,328,760.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.