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Finding the Third Proportional to 264,816 and 588,478

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Solution

The third proportional to 264,816 and 588,478 is: 1,307,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,816 : 588,478 = 588,478 : x
  2. Step 2: Convert to fraction form
    264,816/588,478 = 588,478/x
  3. Step 3: Cross multiply
    264,816x = 588,478 × 588,478
  4. Step 4: Simplify right side
    264,816x = 346,306,356,484
  5. Step 5: Solve for x
    x = 346,306,356,484/264,816
  6. Step 6: Final answer
    x = 1,307,724.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.