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Finding the Third Proportional to 374,962.50 and 821,151

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Solution

The third proportional to 374,962.50 and 821,151 is: 1,798,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,962.50 : 821,151 = 821,151 : x
  2. Step 2: Convert to fraction form
    374,962.50/821,151 = 821,151/x
  3. Step 3: Cross multiply
    374,962.50x = 821,151 × 821,151
  4. Step 4: Simplify right side
    374,962.50x = 674,288,964,801
  5. Step 5: Solve for x
    x = 674,288,964,801/374,962.50
  6. Step 6: Final answer
    x = 1,798,283.73

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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.