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Finding the Third Proportional to 719,455.50 and 1,039,403.25

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Solution

The third proportional to 719,455.50 and 1,039,403.25 is: 1,501,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,455.50 : 1,039,403.25 = 1,039,403.25 : x
  2. Step 2: Convert to fraction form
    719,455.50/1,039,403.25 = 1,039,403.25/x
  3. Step 3: Cross multiply
    719,455.50x = 1,039,403.25 × 1,039,403.25
  4. Step 4: Simplify right side
    719,455.50x = 1,080,359,116,110.56
  5. Step 5: Solve for x
    x = 1,080,359,116,110.56/719,455.50
  6. Step 6: Final answer
    x = 1,501,634.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.