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Finding the Third Proportional to 315,009 and 740,464.50

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Solution

The third proportional to 315,009 and 740,464.50 is: 1,740,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,009 : 740,464.50 = 740,464.50 : x
  2. Step 2: Convert to fraction form
    315,009/740,464.50 = 740,464.50/x
  3. Step 3: Cross multiply
    315,009x = 740,464.50 × 740,464.50
  4. Step 4: Simplify right side
    315,009x = 548,287,675,760.25
  5. Step 5: Solve for x
    x = 548,287,675,760.25/315,009
  6. Step 6: Final answer
    x = 1,740,546.07

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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.