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Finding the Third Proportional to 233,430.75 and 509,265

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Solution

The third proportional to 233,430.75 and 509,265 is: 1,111,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,430.75 : 509,265 = 509,265 : x
  2. Step 2: Convert to fraction form
    233,430.75/509,265 = 509,265/x
  3. Step 3: Cross multiply
    233,430.75x = 509,265 × 509,265
  4. Step 4: Simplify right side
    233,430.75x = 259,350,840,225
  5. Step 5: Solve for x
    x = 259,350,840,225/233,430.75
  6. Step 6: Final answer
    x = 1,111,039.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.