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Finding the Third Proportional to 371,144 and 813,220

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Solution

The third proportional to 371,144 and 813,220 is: 1,781,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,144 : 813,220 = 813,220 : x
  2. Step 2: Convert to fraction form
    371,144/813,220 = 813,220/x
  3. Step 3: Cross multiply
    371,144x = 813,220 × 813,220
  4. Step 4: Simplify right side
    371,144x = 661,326,768,400
  5. Step 5: Solve for x
    x = 661,326,768,400/371,144
  6. Step 6: Final answer
    x = 1,781,860.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.