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Finding the Third Proportional to 351,005.75 and 758,050

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Solution

The third proportional to 351,005.75 and 758,050 is: 1,637,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,005.75 : 758,050 = 758,050 : x
  2. Step 2: Convert to fraction form
    351,005.75/758,050 = 758,050/x
  3. Step 3: Cross multiply
    351,005.75x = 758,050 × 758,050
  4. Step 4: Simplify right side
    351,005.75x = 574,639,802,500
  5. Step 5: Solve for x
    x = 574,639,802,500/351,005.75
  6. Step 6: Final answer
    x = 1,637,123.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.