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Finding the Third Proportional to 368,564.75 and 788,364.75

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Solution

The third proportional to 368,564.75 and 788,364.75 is: 1,686,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,564.75 : 788,364.75 = 788,364.75 : x
  2. Step 2: Convert to fraction form
    368,564.75/788,364.75 = 788,364.75/x
  3. Step 3: Cross multiply
    368,564.75x = 788,364.75 × 788,364.75
  4. Step 4: Simplify right side
    368,564.75x = 621,518,979,042.56
  5. Step 5: Solve for x
    x = 621,518,979,042.56/368,564.75
  6. Step 6: Final answer
    x = 1,686,322.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.