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Finding the Third Proportional to 355,335 and 777,096.75

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Solution

The third proportional to 355,335 and 777,096.75 is: 1,699,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,335 : 777,096.75 = 777,096.75 : x
  2. Step 2: Convert to fraction form
    355,335/777,096.75 = 777,096.75/x
  3. Step 3: Cross multiply
    355,335x = 777,096.75 × 777,096.75
  4. Step 4: Simplify right side
    355,335x = 603,879,358,860.56
  5. Step 5: Solve for x
    x = 603,879,358,860.56/355,335
  6. Step 6: Final answer
    x = 1,699,464.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.