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Finding the Third Proportional to 467,938 and 958,008

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Solution

The third proportional to 467,938 and 958,008 is: 1,961,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,938 : 958,008 = 958,008 : x
  2. Step 2: Convert to fraction form
    467,938/958,008 = 958,008/x
  3. Step 3: Cross multiply
    467,938x = 958,008 × 958,008
  4. Step 4: Simplify right side
    467,938x = 917,779,328,064
  5. Step 5: Solve for x
    x = 917,779,328,064/467,938
  6. Step 6: Final answer
    x = 1,961,326.77

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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.