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Finding the Third Proportional to 468,045 and 958,263

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Solution

The third proportional to 468,045 and 958,263 is: 1,961,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,045 : 958,263 = 958,263 : x
  2. Step 2: Convert to fraction form
    468,045/958,263 = 958,263/x
  3. Step 3: Cross multiply
    468,045x = 958,263 × 958,263
  4. Step 4: Simplify right side
    468,045x = 918,267,977,169
  5. Step 5: Solve for x
    x = 918,267,977,169/468,045
  6. Step 6: Final answer
    x = 1,961,922.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.