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Finding the Third Proportional to 248,047 and 525,899.50

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Solution

The third proportional to 248,047 and 525,899.50 is: 1,114,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,047 : 525,899.50 = 525,899.50 : x
  2. Step 2: Convert to fraction form
    248,047/525,899.50 = 525,899.50/x
  3. Step 3: Cross multiply
    248,047x = 525,899.50 × 525,899.50
  4. Step 4: Simplify right side
    248,047x = 276,570,284,100.25
  5. Step 5: Solve for x
    x = 276,570,284,100.25/248,047
  6. Step 6: Final answer
    x = 1,114,991.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.