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Finding the Third Proportional to 797,790.50 and 1,197,501.50

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Solution

The third proportional to 797,790.50 and 1,197,501.50 is: 1,797,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,790.50 : 1,197,501.50 = 1,197,501.50 : x
  2. Step 2: Convert to fraction form
    797,790.50/1,197,501.50 = 1,197,501.50/x
  3. Step 3: Cross multiply
    797,790.50x = 1,197,501.50 × 1,197,501.50
  4. Step 4: Simplify right side
    797,790.50x = 1,434,009,842,502.25
  5. Step 5: Solve for x
    x = 1,434,009,842,502.25/797,790.50
  6. Step 6: Final answer
    x = 1,797,476.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.