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Finding the Third Proportional to 258,653 and 388,335

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Solution

The third proportional to 258,653 and 388,335 is: 583,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,653 : 388,335 = 388,335 : x
  2. Step 2: Convert to fraction form
    258,653/388,335 = 388,335/x
  3. Step 3: Cross multiply
    258,653x = 388,335 × 388,335
  4. Step 4: Simplify right side
    258,653x = 150,804,072,225
  5. Step 5: Solve for x
    x = 150,804,072,225/258,653
  6. Step 6: Final answer
    x = 583,036.24

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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.