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Finding the Third Proportional to 633,708.56 and 972,707.06

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Solution

The third proportional to 633,708.56 and 972,707.06 is: 1,493,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,708.56 : 972,707.06 = 972,707.06 : x
  2. Step 2: Convert to fraction form
    633,708.56/972,707.06 = 972,707.06/x
  3. Step 3: Cross multiply
    633,708.56x = 972,707.06 × 972,707.06
  4. Step 4: Simplify right side
    633,708.56x = 946,159,029,437.38
  5. Step 5: Solve for x
    x = 946,159,029,437.38/633,708.56
  6. Step 6: Final answer
    x = 1,493,050.73

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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.