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Finding the Third Proportional to 328,623 and 529,078.50

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Solution

The third proportional to 328,623 and 529,078.50 is: 851,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,623 : 529,078.50 = 529,078.50 : x
  2. Step 2: Convert to fraction form
    328,623/529,078.50 = 529,078.50/x
  3. Step 3: Cross multiply
    328,623x = 529,078.50 × 529,078.50
  4. Step 4: Simplify right side
    328,623x = 279,924,059,162.25
  5. Step 5: Solve for x
    x = 279,924,059,162.25/328,623
  6. Step 6: Final answer
    x = 851,809.09

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.