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Finding the Third Proportional to 354,904.88 and 531,810.56

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Solution

The third proportional to 354,904.88 and 531,810.56 is: 796,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,904.88 : 531,810.56 = 531,810.56 : x
  2. Step 2: Convert to fraction form
    354,904.88/531,810.56 = 531,810.56/x
  3. Step 3: Cross multiply
    354,904.88x = 531,810.56 × 531,810.56
  4. Step 4: Simplify right side
    354,904.88x = 282,822,474,386.57
  5. Step 5: Solve for x
    x = 282,822,474,386.57/354,904.88
  6. Step 6: Final answer
    x = 796,896.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.