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Finding the Third Proportional to 760,344.75 and 1,633,009.50

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Solution

The third proportional to 760,344.75 and 1,633,009.50 is: 3,507,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,344.75 : 1,633,009.50 = 1,633,009.50 : x
  2. Step 2: Convert to fraction form
    760,344.75/1,633,009.50 = 1,633,009.50/x
  3. Step 3: Cross multiply
    760,344.75x = 1,633,009.50 × 1,633,009.50
  4. Step 4: Simplify right side
    760,344.75x = 2,666,720,027,090.25
  5. Step 5: Solve for x
    x = 2,666,720,027,090.25/760,344.75
  6. Step 6: Final answer
    x = 3,507,251.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.