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Finding the Third Proportional to 371,512 and 814,248

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Solution

The third proportional to 371,512 and 814,248 is: 1,784,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,512 : 814,248 = 814,248 : x
  2. Step 2: Convert to fraction form
    371,512/814,248 = 814,248/x
  3. Step 3: Cross multiply
    371,512x = 814,248 × 814,248
  4. Step 4: Simplify right side
    371,512x = 662,999,805,504
  5. Step 5: Solve for x
    x = 662,999,805,504/371,512
  6. Step 6: Final answer
    x = 1,784,598.63

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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.