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Finding the Third Proportional to 295,779.75 and 443,525.63

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Solution

The third proportional to 295,779.75 and 443,525.63 is: 665,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,779.75 : 443,525.63 = 443,525.63 : x
  2. Step 2: Convert to fraction form
    295,779.75/443,525.63 = 443,525.63/x
  3. Step 3: Cross multiply
    295,779.75x = 443,525.63 × 443,525.63
  4. Step 4: Simplify right side
    295,779.75x = 196,714,980,031.64
  5. Step 5: Solve for x
    x = 196,714,980,031.64/295,779.75
  6. Step 6: Final answer
    x = 665,072.51

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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.