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Finding the Third Proportional to 256,063.50 and 560,343.50

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Solution

The third proportional to 256,063.50 and 560,343.50 is: 1,226,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,063.50 : 560,343.50 = 560,343.50 : x
  2. Step 2: Convert to fraction form
    256,063.50/560,343.50 = 560,343.50/x
  3. Step 3: Cross multiply
    256,063.50x = 560,343.50 × 560,343.50
  4. Step 4: Simplify right side
    256,063.50x = 313,984,837,992.25
  5. Step 5: Solve for x
    x = 313,984,837,992.25/256,063.50
  6. Step 6: Final answer
    x = 1,226,199.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.