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Finding the Third Proportional to 234,522 and 505,534.50

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Solution

The third proportional to 234,522 and 505,534.50 is: 1,089,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,522 : 505,534.50 = 505,534.50 : x
  2. Step 2: Convert to fraction form
    234,522/505,534.50 = 505,534.50/x
  3. Step 3: Cross multiply
    234,522x = 505,534.50 × 505,534.50
  4. Step 4: Simplify right side
    234,522x = 255,565,130,690.25
  5. Step 5: Solve for x
    x = 255,565,130,690.25/234,522
  6. Step 6: Final answer
    x = 1,089,727.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.