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Finding the Third Proportional to 305,951 and 662,740

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Solution

The third proportional to 305,951 and 662,740 is: 1,435,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,951 : 662,740 = 662,740 : x
  2. Step 2: Convert to fraction form
    305,951/662,740 = 662,740/x
  3. Step 3: Cross multiply
    305,951x = 662,740 × 662,740
  4. Step 4: Simplify right side
    305,951x = 439,224,307,600
  5. Step 5: Solve for x
    x = 439,224,307,600/305,951
  6. Step 6: Final answer
    x = 1,435,603.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.