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Finding the Third Proportional to 408,044 and 612,068

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Solution

The third proportional to 408,044 and 612,068 is: 918,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,044 : 612,068 = 612,068 : x
  2. Step 2: Convert to fraction form
    408,044/612,068 = 612,068/x
  3. Step 3: Cross multiply
    408,044x = 612,068 × 612,068
  4. Step 4: Simplify right side
    408,044x = 374,627,236,624
  5. Step 5: Solve for x
    x = 374,627,236,624/408,044
  6. Step 6: Final answer
    x = 918,105.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.