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Finding the Third Proportional to 240,274.50 and 528,512.50

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Solution

The third proportional to 240,274.50 and 528,512.50 is: 1,162,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,274.50 : 528,512.50 = 528,512.50 : x
  2. Step 2: Convert to fraction form
    240,274.50/528,512.50 = 528,512.50/x
  3. Step 3: Cross multiply
    240,274.50x = 528,512.50 × 528,512.50
  4. Step 4: Simplify right side
    240,274.50x = 279,325,462,656.25
  5. Step 5: Solve for x
    x = 279,325,462,656.25/240,274.50
  6. Step 6: Final answer
    x = 1,162,526.45

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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.