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Finding the Third Proportional to 301,118.63 and 443,358.84

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Solution

The third proportional to 301,118.63 and 443,358.84 is: 652,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,118.63 : 443,358.84 = 443,358.84 : x
  2. Step 2: Convert to fraction form
    301,118.63/443,358.84 = 443,358.84/x
  3. Step 3: Cross multiply
    301,118.63x = 443,358.84 × 443,358.84
  4. Step 4: Simplify right side
    301,118.63x = 196,567,064,331.34
  5. Step 5: Solve for x
    x = 196,567,064,331.34/301,118.63
  6. Step 6: Final answer
    x = 652,789.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.