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Finding the Third Proportional to 385,083.63 and 858,710.25

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Solution

The third proportional to 385,083.63 and 858,710.25 is: 1,914,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,083.63 : 858,710.25 = 858,710.25 : x
  2. Step 2: Convert to fraction form
    385,083.63/858,710.25 = 858,710.25/x
  3. Step 3: Cross multiply
    385,083.63x = 858,710.25 × 858,710.25
  4. Step 4: Simplify right side
    385,083.63x = 737,383,293,455.06
  5. Step 5: Solve for x
    x = 737,383,293,455.06/385,083.63
  6. Step 6: Final answer
    x = 1,914,865.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.