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Finding the Third Proportional to 245,089.50 and 512,623.50

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Solution

The third proportional to 245,089.50 and 512,623.50 is: 1,072,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,089.50 : 512,623.50 = 512,623.50 : x
  2. Step 2: Convert to fraction form
    245,089.50/512,623.50 = 512,623.50/x
  3. Step 3: Cross multiply
    245,089.50x = 512,623.50 × 512,623.50
  4. Step 4: Simplify right side
    245,089.50x = 262,782,852,752.25
  5. Step 5: Solve for x
    x = 262,782,852,752.25/245,089.50
  6. Step 6: Final answer
    x = 1,072,191.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.