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Finding the Third Proportional to 328,185 and 725,260.50

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Solution

The third proportional to 328,185 and 725,260.50 is: 1,602,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,185 : 725,260.50 = 725,260.50 : x
  2. Step 2: Convert to fraction form
    328,185/725,260.50 = 725,260.50/x
  3. Step 3: Cross multiply
    328,185x = 725,260.50 × 725,260.50
  4. Step 4: Simplify right side
    328,185x = 526,002,792,860.25
  5. Step 5: Solve for x
    x = 526,002,792,860.25/328,185
  6. Step 6: Final answer
    x = 1,602,763.05

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.