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Finding the Third Proportional to 588,079.50 and 864,889.50

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Solution

The third proportional to 588,079.50 and 864,889.50 is: 1,271,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,079.50 : 864,889.50 = 864,889.50 : x
  2. Step 2: Convert to fraction form
    588,079.50/864,889.50 = 864,889.50/x
  3. Step 3: Cross multiply
    588,079.50x = 864,889.50 × 864,889.50
  4. Step 4: Simplify right side
    588,079.50x = 748,033,847,210.25
  5. Step 5: Solve for x
    x = 748,033,847,210.25/588,079.50
  6. Step 6: Final answer
    x = 1,271,994.43

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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.