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Finding the Third Proportional to 233,772 and 511,284

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Solution

The third proportional to 233,772 and 511,284 is: 1,118,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,772 : 511,284 = 511,284 : x
  2. Step 2: Convert to fraction form
    233,772/511,284 = 511,284/x
  3. Step 3: Cross multiply
    233,772x = 511,284 × 511,284
  4. Step 4: Simplify right side
    233,772x = 261,411,328,656
  5. Step 5: Solve for x
    x = 261,411,328,656/233,772
  6. Step 6: Final answer
    x = 1,118,231.99

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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.