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Finding the Third Proportional to 233,624 and 511,476

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Solution

The third proportional to 233,624 and 511,476 is: 1,119,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,624 : 511,476 = 511,476 : x
  2. Step 2: Convert to fraction form
    233,624/511,476 = 511,476/x
  3. Step 3: Cross multiply
    233,624x = 511,476 × 511,476
  4. Step 4: Simplify right side
    233,624x = 261,607,698,576
  5. Step 5: Solve for x
    x = 261,607,698,576/233,624
  6. Step 6: Final answer
    x = 1,119,780.92

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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.