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Finding the Third Proportional to 242,028 and 531,823.50

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Solution

The third proportional to 242,028 and 531,823.50 is: 1,168,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,028 : 531,823.50 = 531,823.50 : x
  2. Step 2: Convert to fraction form
    242,028/531,823.50 = 531,823.50/x
  3. Step 3: Cross multiply
    242,028x = 531,823.50 × 531,823.50
  4. Step 4: Simplify right side
    242,028x = 282,836,235,152.25
  5. Step 5: Solve for x
    x = 282,836,235,152.25/242,028
  6. Step 6: Final answer
    x = 1,168,609.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.