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Finding the Third Proportional to 240,336 and 511,735

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Solution

The third proportional to 240,336 and 511,735 is: 1,089,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,336 : 511,735 = 511,735 : x
  2. Step 2: Convert to fraction form
    240,336/511,735 = 511,735/x
  3. Step 3: Cross multiply
    240,336x = 511,735 × 511,735
  4. Step 4: Simplify right side
    240,336x = 261,872,710,225
  5. Step 5: Solve for x
    x = 261,872,710,225/240,336
  6. Step 6: Final answer
    x = 1,089,610.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.