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Finding the Third Proportional to 388,032 and 579,658.25

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Solution

The third proportional to 388,032 and 579,658.25 is: 865,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,032 : 579,658.25 = 579,658.25 : x
  2. Step 2: Convert to fraction form
    388,032/579,658.25 = 579,658.25/x
  3. Step 3: Cross multiply
    388,032x = 579,658.25 × 579,658.25
  4. Step 4: Simplify right side
    388,032x = 336,003,686,793.06
  5. Step 5: Solve for x
    x = 336,003,686,793.06/388,032
  6. Step 6: Final answer
    x = 865,917.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.