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Finding the Third Proportional to 405,955.50 and 567,550.50

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Solution

The third proportional to 405,955.50 and 567,550.50 is: 793,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,955.50 : 567,550.50 = 567,550.50 : x
  2. Step 2: Convert to fraction form
    405,955.50/567,550.50 = 567,550.50/x
  3. Step 3: Cross multiply
    405,955.50x = 567,550.50 × 567,550.50
  4. Step 4: Simplify right side
    405,955.50x = 322,113,570,050.25
  5. Step 5: Solve for x
    x = 322,113,570,050.25/405,955.50
  6. Step 6: Final answer
    x = 793,470.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.