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Finding the Third Proportional to 315,010.50 and 740,467.50

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Solution

The third proportional to 315,010.50 and 740,467.50 is: 1,740,551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,010.50 : 740,467.50 = 740,467.50 : x
  2. Step 2: Convert to fraction form
    315,010.50/740,467.50 = 740,467.50/x
  3. Step 3: Cross multiply
    315,010.50x = 740,467.50 × 740,467.50
  4. Step 4: Simplify right side
    315,010.50x = 548,292,118,556.25
  5. Step 5: Solve for x
    x = 548,292,118,556.25/315,010.50
  6. Step 6: Final answer
    x = 1,740,551.88

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.