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Finding the Third Proportional to 355,007 and 775,065.50

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Solution

The third proportional to 355,007 and 775,065.50 is: 1,692,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,007 : 775,065.50 = 775,065.50 : x
  2. Step 2: Convert to fraction form
    355,007/775,065.50 = 775,065.50/x
  3. Step 3: Cross multiply
    355,007x = 775,065.50 × 775,065.50
  4. Step 4: Simplify right side
    355,007x = 600,726,529,290.25
  5. Step 5: Solve for x
    x = 600,726,529,290.25/355,007
  6. Step 6: Final answer
    x = 1,692,154.04

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