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Finding the Third Proportional to 306,650.81 and 465,512.06

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Solution

The third proportional to 306,650.81 and 465,512.06 is: 706,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,650.81 : 465,512.06 = 465,512.06 : x
  2. Step 2: Convert to fraction form
    306,650.81/465,512.06 = 465,512.06/x
  3. Step 3: Cross multiply
    306,650.81x = 465,512.06 × 465,512.06
  4. Step 4: Simplify right side
    306,650.81x = 216,701,480,333.00
  5. Step 5: Solve for x
    x = 216,701,480,333.00/306,650.81
  6. Step 6: Final answer
    x = 706,671.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.