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Finding the Third Proportional to 301,478 and 662,140

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Solution

The third proportional to 301,478 and 662,140 is: 1,454,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,478 : 662,140 = 662,140 : x
  2. Step 2: Convert to fraction form
    301,478/662,140 = 662,140/x
  3. Step 3: Cross multiply
    301,478x = 662,140 × 662,140
  4. Step 4: Simplify right side
    301,478x = 438,429,379,600
  5. Step 5: Solve for x
    x = 438,429,379,600/301,478
  6. Step 6: Final answer
    x = 1,454,266.58

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