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Finding the Third Proportional to 335,054.81 and 722,594.25

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Solution

The third proportional to 335,054.81 and 722,594.25 is: 1,558,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,054.81 : 722,594.25 = 722,594.25 : x
  2. Step 2: Convert to fraction form
    335,054.81/722,594.25 = 722,594.25/x
  3. Step 3: Cross multiply
    335,054.81x = 722,594.25 × 722,594.25
  4. Step 4: Simplify right side
    335,054.81x = 522,142,450,133.06
  5. Step 5: Solve for x
    x = 522,142,450,133.06/335,054.81
  6. Step 6: Final answer
    x = 1,558,379.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.