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Finding the Third Proportional to 713,664.56 and 972,054.84

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Solution

The third proportional to 713,664.56 and 972,054.84 is: 1,323,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,664.56 : 972,054.84 = 972,054.84 : x
  2. Step 2: Convert to fraction form
    713,664.56/972,054.84 = 972,054.84/x
  3. Step 3: Cross multiply
    713,664.56x = 972,054.84 × 972,054.84
  4. Step 4: Simplify right side
    713,664.56x = 944,890,619,257.84
  5. Step 5: Solve for x
    x = 944,890,619,257.84/713,664.56
  6. Step 6: Final answer
    x = 1,323,998.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.