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Finding the Third Proportional to 233,406 and 497,916

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Solution

The third proportional to 233,406 and 497,916 is: 1,062,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,406 : 497,916 = 497,916 : x
  2. Step 2: Convert to fraction form
    233,406/497,916 = 497,916/x
  3. Step 3: Cross multiply
    233,406x = 497,916 × 497,916
  4. Step 4: Simplify right side
    233,406x = 247,920,343,056
  5. Step 5: Solve for x
    x = 247,920,343,056/233,406
  6. Step 6: Final answer
    x = 1,062,184.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.