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Finding the Third Proportional to 328,152 and 712,321.50

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Solution

The third proportional to 328,152 and 712,321.50 is: 1,546,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,152 : 712,321.50 = 712,321.50 : x
  2. Step 2: Convert to fraction form
    328,152/712,321.50 = 712,321.50/x
  3. Step 3: Cross multiply
    328,152x = 712,321.50 × 712,321.50
  4. Step 4: Simplify right side
    328,152x = 507,401,919,362.25
  5. Step 5: Solve for x
    x = 507,401,919,362.25/328,152
  6. Step 6: Final answer
    x = 1,546,240.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.