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Finding the Third Proportional to 269,028 and 433,476

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Solution

The third proportional to 269,028 and 433,476 is: 698,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,028 : 433,476 = 433,476 : x
  2. Step 2: Convert to fraction form
    269,028/433,476 = 433,476/x
  3. Step 3: Cross multiply
    269,028x = 433,476 × 433,476
  4. Step 4: Simplify right side
    269,028x = 187,901,442,576
  5. Step 5: Solve for x
    x = 187,901,442,576/269,028
  6. Step 6: Final answer
    x = 698,445.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.