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Finding the Third Proportional to 300,070.50 and 464,322

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Solution

The third proportional to 300,070.50 and 464,322 is: 718,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,070.50 : 464,322 = 464,322 : x
  2. Step 2: Convert to fraction form
    300,070.50/464,322 = 464,322/x
  3. Step 3: Cross multiply
    300,070.50x = 464,322 × 464,322
  4. Step 4: Simplify right side
    300,070.50x = 215,594,919,684
  5. Step 5: Solve for x
    x = 215,594,919,684/300,070.50
  6. Step 6: Final answer
    x = 718,480.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.