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Finding the Third Proportional to 232,833 and 511,386.75

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Solution

The third proportional to 232,833 and 511,386.75 is: 1,123,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,833 : 511,386.75 = 511,386.75 : x
  2. Step 2: Convert to fraction form
    232,833/511,386.75 = 511,386.75/x
  3. Step 3: Cross multiply
    232,833x = 511,386.75 × 511,386.75
  4. Step 4: Simplify right side
    232,833x = 261,516,408,075.56
  5. Step 5: Solve for x
    x = 261,516,408,075.56/232,833
  6. Step 6: Final answer
    x = 1,123,193.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.