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Finding the Third Proportional to 588,079 and 864,888

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Solution

The third proportional to 588,079 and 864,888 is: 1,271,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,079 : 864,888 = 864,888 : x
  2. Step 2: Convert to fraction form
    588,079/864,888 = 864,888/x
  3. Step 3: Cross multiply
    588,079x = 864,888 × 864,888
  4. Step 4: Simplify right side
    588,079x = 748,031,252,544
  5. Step 5: Solve for x
    x = 748,031,252,544/588,079
  6. Step 6: Final answer
    x = 1,271,991.10

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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.