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Finding the Third Proportional to 233,640 and 511,506

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Solution

The third proportional to 233,640 and 511,506 is: 1,119,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,640 : 511,506 = 511,506 : x
  2. Step 2: Convert to fraction form
    233,640/511,506 = 511,506/x
  3. Step 3: Cross multiply
    233,640x = 511,506 × 511,506
  4. Step 4: Simplify right side
    233,640x = 261,638,388,036
  5. Step 5: Solve for x
    x = 261,638,388,036/233,640
  6. Step 6: Final answer
    x = 1,119,835.59

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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.