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Finding the Third Proportional to 633,713.63 and 972,713.81

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Solution

The third proportional to 633,713.63 and 972,713.81 is: 1,493,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,713.63 : 972,713.81 = 972,713.81 : x
  2. Step 2: Convert to fraction form
    633,713.63/972,713.81 = 972,713.81/x
  3. Step 3: Cross multiply
    633,713.63x = 972,713.81 × 972,713.81
  4. Step 4: Simplify right side
    633,713.63x = 946,172,161,028.29
  5. Step 5: Solve for x
    x = 946,172,161,028.29/633,713.63
  6. Step 6: Final answer
    x = 1,493,059.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.