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Finding the Third Proportional to 300,911.63 and 446,391

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Solution

The third proportional to 300,911.63 and 446,391 is: 662,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,911.63 : 446,391 = 446,391 : x
  2. Step 2: Convert to fraction form
    300,911.63/446,391 = 446,391/x
  3. Step 3: Cross multiply
    300,911.63x = 446,391 × 446,391
  4. Step 4: Simplify right side
    300,911.63x = 199,264,924,881
  5. Step 5: Solve for x
    x = 199,264,924,881/300,911.63
  6. Step 6: Final answer
    x = 662,204.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.