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Finding the Third Proportional to 265,056 and 552,466.50

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Solution

The third proportional to 265,056 and 552,466.50 is: 1,151,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,056 : 552,466.50 = 552,466.50 : x
  2. Step 2: Convert to fraction form
    265,056/552,466.50 = 552,466.50/x
  3. Step 3: Cross multiply
    265,056x = 552,466.50 × 552,466.50
  4. Step 4: Simplify right side
    265,056x = 305,219,233,622.25
  5. Step 5: Solve for x
    x = 305,219,233,622.25/265,056
  6. Step 6: Final answer
    x = 1,151,527.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.