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Finding the Third Proportional to 315,007.50 and 740,460.75

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Solution

The third proportional to 315,007.50 and 740,460.75 is: 1,740,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,007.50 : 740,460.75 = 740,460.75 : x
  2. Step 2: Convert to fraction form
    315,007.50/740,460.75 = 740,460.75/x
  3. Step 3: Cross multiply
    315,007.50x = 740,460.75 × 740,460.75
  4. Step 4: Simplify right side
    315,007.50x = 548,282,122,290.56
  5. Step 5: Solve for x
    x = 548,282,122,290.56/315,007.50
  6. Step 6: Final answer
    x = 1,740,536.72

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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.