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Finding the Third Proportional to 511,023.94 and 744,352.03

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Solution

The third proportional to 511,023.94 and 744,352.03 is: 1,084,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,023.94 : 744,352.03 = 744,352.03 : x
  2. Step 2: Convert to fraction form
    511,023.94/744,352.03 = 744,352.03/x
  3. Step 3: Cross multiply
    511,023.94x = 744,352.03 × 744,352.03
  4. Step 4: Simplify right side
    511,023.94x = 554,059,946,426.00
  5. Step 5: Solve for x
    x = 554,059,946,426.00/511,023.94
  6. Step 6: Final answer
    x = 1,084,215.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.