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Finding the Third Proportional to 385,036 and 837,200

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Solution

The third proportional to 385,036 and 837,200 is: 1,820,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,036 : 837,200 = 837,200 : x
  2. Step 2: Convert to fraction form
    385,036/837,200 = 837,200/x
  3. Step 3: Cross multiply
    385,036x = 837,200 × 837,200
  4. Step 4: Simplify right side
    385,036x = 700,903,840,000
  5. Step 5: Solve for x
    x = 700,903,840,000/385,036
  6. Step 6: Final answer
    x = 1,820,359.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.