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Finding the Third Proportional to 355,001.50 and 775,054.75

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Solution

The third proportional to 355,001.50 and 775,054.75 is: 1,692,133.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,001.50 : 775,054.75 = 775,054.75 : x
  2. Step 2: Convert to fraction form
    355,001.50/775,054.75 = 775,054.75/x
  3. Step 3: Cross multiply
    355,001.50x = 775,054.75 × 775,054.75
  4. Step 4: Simplify right side
    355,001.50x = 600,709,865,497.56
  5. Step 5: Solve for x
    x = 600,709,865,497.56/355,001.50
  6. Step 6: Final answer
    x = 1,692,133.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.