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Finding the Third Proportional to 308,095 and 662,026

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Solution

The third proportional to 308,095 and 662,026 is: 1,422,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,095 : 662,026 = 662,026 : x
  2. Step 2: Convert to fraction form
    308,095/662,026 = 662,026/x
  3. Step 3: Cross multiply
    308,095x = 662,026 × 662,026
  4. Step 4: Simplify right side
    308,095x = 438,278,424,676
  5. Step 5: Solve for x
    x = 438,278,424,676/308,095
  6. Step 6: Final answer
    x = 1,422,543.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.