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Finding the Third Proportional to 385,178 and 847,216

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Solution

The third proportional to 385,178 and 847,216 is: 1,863,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,178 : 847,216 = 847,216 : x
  2. Step 2: Convert to fraction form
    385,178/847,216 = 847,216/x
  3. Step 3: Cross multiply
    385,178x = 847,216 × 847,216
  4. Step 4: Simplify right side
    385,178x = 717,774,950,656
  5. Step 5: Solve for x
    x = 717,774,950,656/385,178
  6. Step 6: Final answer
    x = 1,863,488.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.