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Finding the Third Proportional to 262,554.75 and 534,740.06

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Solution

The third proportional to 262,554.75 and 534,740.06 is: 1,089,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,554.75 : 534,740.06 = 534,740.06 : x
  2. Step 2: Convert to fraction form
    262,554.75/534,740.06 = 534,740.06/x
  3. Step 3: Cross multiply
    262,554.75x = 534,740.06 × 534,740.06
  4. Step 4: Simplify right side
    262,554.75x = 285,946,934,442.50
  5. Step 5: Solve for x
    x = 285,946,934,442.50/262,554.75
  6. Step 6: Final answer
    x = 1,089,094.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.