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Finding the Third Proportional to 292,120 and 443,669

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Solution

The third proportional to 292,120 and 443,669 is: 673,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,120 : 443,669 = 443,669 : x
  2. Step 2: Convert to fraction form
    292,120/443,669 = 443,669/x
  3. Step 3: Cross multiply
    292,120x = 443,669 × 443,669
  4. Step 4: Simplify right side
    292,120x = 196,842,181,561
  5. Step 5: Solve for x
    x = 196,842,181,561/292,120
  6. Step 6: Final answer
    x = 673,840.14

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Why These Related Problems?

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