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Finding the Third Proportional to 328,851 and 493,320.50

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Solution

The third proportional to 328,851 and 493,320.50 is: 740,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,851 : 493,320.50 = 493,320.50 : x
  2. Step 2: Convert to fraction form
    328,851/493,320.50 = 493,320.50/x
  3. Step 3: Cross multiply
    328,851x = 493,320.50 × 493,320.50
  4. Step 4: Simplify right side
    328,851x = 243,365,115,720.25
  5. Step 5: Solve for x
    x = 243,365,115,720.25/328,851
  6. Step 6: Final answer
    x = 740,046.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.