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Finding the Third Proportional to 385,084 and 858,712

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Solution

The third proportional to 385,084 and 858,712 is: 1,914,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,084 : 858,712 = 858,712 : x
  2. Step 2: Convert to fraction form
    385,084/858,712 = 858,712/x
  3. Step 3: Cross multiply
    385,084x = 858,712 × 858,712
  4. Step 4: Simplify right side
    385,084x = 737,386,298,944
  5. Step 5: Solve for x
    x = 737,386,298,944/385,084
  6. Step 6: Final answer
    x = 1,914,871.30

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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.