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Finding the Third Proportional to 328,104 and 707,420.25

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Solution

The third proportional to 328,104 and 707,420.25 is: 1,525,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,104 : 707,420.25 = 707,420.25 : x
  2. Step 2: Convert to fraction form
    328,104/707,420.25 = 707,420.25/x
  3. Step 3: Cross multiply
    328,104x = 707,420.25 × 707,420.25
  4. Step 4: Simplify right side
    328,104x = 500,443,410,110.06
  5. Step 5: Solve for x
    x = 500,443,410,110.06/328,104
  6. Step 6: Final answer
    x = 1,525,258.49

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