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Finding the Third Proportional to 435,242 and 665,823

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Solution

The third proportional to 435,242 and 665,823 is: 1,018,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,242 : 665,823 = 665,823 : x
  2. Step 2: Convert to fraction form
    435,242/665,823 = 665,823/x
  3. Step 3: Cross multiply
    435,242x = 665,823 × 665,823
  4. Step 4: Simplify right side
    435,242x = 443,320,267,329
  5. Step 5: Solve for x
    x = 443,320,267,329/435,242
  6. Step 6: Final answer
    x = 1,018,560.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.