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Finding the Third Proportional to 328,148.44 and 506,223

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Solution

The third proportional to 328,148.44 and 506,223 is: 780,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,148.44 : 506,223 = 506,223 : x
  2. Step 2: Convert to fraction form
    328,148.44/506,223 = 506,223/x
  3. Step 3: Cross multiply
    328,148.44x = 506,223 × 506,223
  4. Step 4: Simplify right side
    328,148.44x = 256,261,725,729
  5. Step 5: Solve for x
    x = 256,261,725,729/328,148.44
  6. Step 6: Final answer
    x = 780,932.34

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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.