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Finding the Third Proportional to 588,078 and 864,887

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Solution

The third proportional to 588,078 and 864,887 is: 1,271,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,078 : 864,887 = 864,887 : x
  2. Step 2: Convert to fraction form
    588,078/864,887 = 864,887/x
  3. Step 3: Cross multiply
    588,078x = 864,887 × 864,887
  4. Step 4: Simplify right side
    588,078x = 748,029,522,769
  5. Step 5: Solve for x
    x = 748,029,522,769/588,078
  6. Step 6: Final answer
    x = 1,271,990.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.