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Finding the Third Proportional to 385,052 and 837,236

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Solution

The third proportional to 385,052 and 837,236 is: 1,820,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,052 : 837,236 = 837,236 : x
  2. Step 2: Convert to fraction form
    385,052/837,236 = 837,236/x
  3. Step 3: Cross multiply
    385,052x = 837,236 × 837,236
  4. Step 4: Simplify right side
    385,052x = 700,964,119,696
  5. Step 5: Solve for x
    x = 700,964,119,696/385,052
  6. Step 6: Final answer
    x = 1,820,440.15

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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.