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Finding the Third Proportional to 331,170 and 525,256.50

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Solution

The third proportional to 331,170 and 525,256.50 is: 833,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,170 : 525,256.50 = 525,256.50 : x
  2. Step 2: Convert to fraction form
    331,170/525,256.50 = 525,256.50/x
  3. Step 3: Cross multiply
    331,170x = 525,256.50 × 525,256.50
  4. Step 4: Simplify right side
    331,170x = 275,894,390,792.25
  5. Step 5: Solve for x
    x = 275,894,390,792.25/331,170
  6. Step 6: Final answer
    x = 833,089.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.