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Finding the Third Proportional to 295,785 and 443,533.50

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Solution

The third proportional to 295,785 and 443,533.50 is: 665,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,785 : 443,533.50 = 443,533.50 : x
  2. Step 2: Convert to fraction form
    295,785/443,533.50 = 443,533.50/x
  3. Step 3: Cross multiply
    295,785x = 443,533.50 × 443,533.50
  4. Step 4: Simplify right side
    295,785x = 196,721,965,622.25
  5. Step 5: Solve for x
    x = 196,721,965,622.25/295,785
  6. Step 6: Final answer
    x = 665,084.32

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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.