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Finding the Third Proportional to 305,484 and 670,740

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Solution

The third proportional to 305,484 and 670,740 is: 1,472,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,484 : 670,740 = 670,740 : x
  2. Step 2: Convert to fraction form
    305,484/670,740 = 670,740/x
  3. Step 3: Cross multiply
    305,484x = 670,740 × 670,740
  4. Step 4: Simplify right side
    305,484x = 449,892,147,600
  5. Step 5: Solve for x
    x = 449,892,147,600/305,484
  6. Step 6: Final answer
    x = 1,472,719.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.