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Finding the Third Proportional to 328,150.50 and 506,226

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Solution

The third proportional to 328,150.50 and 506,226 is: 780,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,150.50 : 506,226 = 506,226 : x
  2. Step 2: Convert to fraction form
    328,150.50/506,226 = 506,226/x
  3. Step 3: Cross multiply
    328,150.50x = 506,226 × 506,226
  4. Step 4: Simplify right side
    328,150.50x = 256,264,763,076
  5. Step 5: Solve for x
    x = 256,264,763,076/328,150.50
  6. Step 6: Final answer
    x = 780,936.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.