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Finding the Third Proportional to 314,906 and 460,647

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Solution

The third proportional to 314,906 and 460,647 is: 673,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,906 : 460,647 = 460,647 : x
  2. Step 2: Convert to fraction form
    314,906/460,647 = 460,647/x
  3. Step 3: Cross multiply
    314,906x = 460,647 × 460,647
  4. Step 4: Simplify right side
    314,906x = 212,195,658,609
  5. Step 5: Solve for x
    x = 212,195,658,609/314,906
  6. Step 6: Final answer
    x = 673,838.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.