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Finding the Third Proportional to 328,077 and 506,634

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Solution

The third proportional to 328,077 and 506,634 is: 782,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,077 : 506,634 = 506,634 : x
  2. Step 2: Convert to fraction form
    328,077/506,634 = 506,634/x
  3. Step 3: Cross multiply
    328,077x = 506,634 × 506,634
  4. Step 4: Simplify right side
    328,077x = 256,678,009,956
  5. Step 5: Solve for x
    x = 256,678,009,956/328,077
  6. Step 6: Final answer
    x = 782,371.24

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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.