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Finding the Third Proportional to 306,749 and 446,718

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Solution

The third proportional to 306,749 and 446,718 is: 650,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,749 : 446,718 = 446,718 : x
  2. Step 2: Convert to fraction form
    306,749/446,718 = 446,718/x
  3. Step 3: Cross multiply
    306,749x = 446,718 × 446,718
  4. Step 4: Simplify right side
    306,749x = 199,556,971,524
  5. Step 5: Solve for x
    x = 199,556,971,524/306,749
  6. Step 6: Final answer
    x = 650,554.60

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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.