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Finding the Third Proportional to 228,964 and 336,590

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Solution

The third proportional to 228,964 and 336,590 is: 494,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,964 : 336,590 = 336,590 : x
  2. Step 2: Convert to fraction form
    228,964/336,590 = 336,590/x
  3. Step 3: Cross multiply
    228,964x = 336,590 × 336,590
  4. Step 4: Simplify right side
    228,964x = 113,292,828,100
  5. Step 5: Solve for x
    x = 113,292,828,100/228,964
  6. Step 6: Final answer
    x = 494,806.29

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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.