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Finding the Third Proportional to 351,762.75 and 545,022

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Solution

The third proportional to 351,762.75 and 545,022 is: 844,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,762.75 : 545,022 = 545,022 : x
  2. Step 2: Convert to fraction form
    351,762.75/545,022 = 545,022/x
  3. Step 3: Cross multiply
    351,762.75x = 545,022 × 545,022
  4. Step 4: Simplify right side
    351,762.75x = 297,048,980,484
  5. Step 5: Solve for x
    x = 297,048,980,484/351,762.75
  6. Step 6: Final answer
    x = 844,458.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.