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Finding the Third Proportional to 357,696.75 and 758,040

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Solution

The third proportional to 357,696.75 and 758,040 is: 1,606,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,696.75 : 758,040 = 758,040 : x
  2. Step 2: Convert to fraction form
    357,696.75/758,040 = 758,040/x
  3. Step 3: Cross multiply
    357,696.75x = 758,040 × 758,040
  4. Step 4: Simplify right side
    357,696.75x = 574,624,641,600
  5. Step 5: Solve for x
    x = 574,624,641,600/357,696.75
  6. Step 6: Final answer
    x = 1,606,457.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.