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Finding the Third Proportional to 328,944 and 493,412

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Solution

The third proportional to 328,944 and 493,412 is: 740,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,944 : 493,412 = 493,412 : x
  2. Step 2: Convert to fraction form
    328,944/493,412 = 493,412/x
  3. Step 3: Cross multiply
    328,944x = 493,412 × 493,412
  4. Step 4: Simplify right side
    328,944x = 243,455,401,744
  5. Step 5: Solve for x
    x = 243,455,401,744/328,944
  6. Step 6: Final answer
    x = 740,112.00

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Why These Related Problems?

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