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Finding the Third Proportional to 366,390 and 772,140

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Solution

The third proportional to 366,390 and 772,140 is: 1,627,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,390 : 772,140 = 772,140 : x
  2. Step 2: Convert to fraction form
    366,390/772,140 = 772,140/x
  3. Step 3: Cross multiply
    366,390x = 772,140 × 772,140
  4. Step 4: Simplify right side
    366,390x = 596,200,179,600
  5. Step 5: Solve for x
    x = 596,200,179,600/366,390
  6. Step 6: Final answer
    x = 1,627,228.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.