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Finding the Third Proportional to 371,732 and 791,416

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Solution

The third proportional to 371,732 and 791,416 is: 1,684,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,732 : 791,416 = 791,416 : x
  2. Step 2: Convert to fraction form
    371,732/791,416 = 791,416/x
  3. Step 3: Cross multiply
    371,732x = 791,416 × 791,416
  4. Step 4: Simplify right side
    371,732x = 626,339,285,056
  5. Step 5: Solve for x
    x = 626,339,285,056/371,732
  6. Step 6: Final answer
    x = 1,684,921.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.