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Finding the Third Proportional to 289,938 and 448,026

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Solution

The third proportional to 289,938 and 448,026 is: 692,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,938 : 448,026 = 448,026 : x
  2. Step 2: Convert to fraction form
    289,938/448,026 = 448,026/x
  3. Step 3: Cross multiply
    289,938x = 448,026 × 448,026
  4. Step 4: Simplify right side
    289,938x = 200,727,296,676
  5. Step 5: Solve for x
    x = 200,727,296,676/289,938
  6. Step 6: Final answer
    x = 692,311.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.