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Finding the Third Proportional to 233,748 and 511,992

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Solution

The third proportional to 233,748 and 511,992 is: 1,121,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,748 : 511,992 = 511,992 : x
  2. Step 2: Convert to fraction form
    233,748/511,992 = 511,992/x
  3. Step 3: Cross multiply
    233,748x = 511,992 × 511,992
  4. Step 4: Simplify right side
    233,748x = 262,135,808,064
  5. Step 5: Solve for x
    x = 262,135,808,064/233,748
  6. Step 6: Final answer
    x = 1,121,446.21

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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.