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Finding the Third Proportional to 430,519.50 and 942,610.50

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Solution

The third proportional to 430,519.50 and 942,610.50 is: 2,063,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,519.50 : 942,610.50 = 942,610.50 : x
  2. Step 2: Convert to fraction form
    430,519.50/942,610.50 = 942,610.50/x
  3. Step 3: Cross multiply
    430,519.50x = 942,610.50 × 942,610.50
  4. Step 4: Simplify right side
    430,519.50x = 888,514,554,710.25
  5. Step 5: Solve for x
    x = 888,514,554,710.25/430,519.50
  6. Step 6: Final answer
    x = 2,063,819.54

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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.