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Finding the Third Proportional to 368,564.34 and 788,363.72

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Solution

The third proportional to 368,564.34 and 788,363.72 is: 1,686,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,564.34 : 788,363.72 = 788,363.72 : x
  2. Step 2: Convert to fraction form
    368,564.34/788,363.72 = 788,363.72/x
  3. Step 3: Cross multiply
    368,564.34x = 788,363.72 × 788,363.72
  4. Step 4: Simplify right side
    368,564.34x = 621,517,353,041.33
  5. Step 5: Solve for x
    x = 621,517,353,041.33/368,564.34
  6. Step 6: Final answer
    x = 1,686,319.81

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