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Finding the Third Proportional to 424,043 and 655,749

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Solution

The third proportional to 424,043 and 655,749 is: 1,014,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,043 : 655,749 = 655,749 : x
  2. Step 2: Convert to fraction form
    424,043/655,749 = 655,749/x
  3. Step 3: Cross multiply
    424,043x = 655,749 × 655,749
  4. Step 4: Simplify right side
    424,043x = 430,006,751,001
  5. Step 5: Solve for x
    x = 430,006,751,001/424,043
  6. Step 6: Final answer
    x = 1,014,064.02

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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.