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Finding the Third Proportional to 376,278 and 823,959

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Solution

The third proportional to 376,278 and 823,959 is: 1,804,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,278 : 823,959 = 823,959 : x
  2. Step 2: Convert to fraction form
    376,278/823,959 = 823,959/x
  3. Step 3: Cross multiply
    376,278x = 823,959 × 823,959
  4. Step 4: Simplify right side
    376,278x = 678,908,433,681
  5. Step 5: Solve for x
    x = 678,908,433,681/376,278
  6. Step 6: Final answer
    x = 1,804,273.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.