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Finding the Third Proportional to 374,277 and 812,525

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Solution

The third proportional to 374,277 and 812,525 is: 1,763,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,277 : 812,525 = 812,525 : x
  2. Step 2: Convert to fraction form
    374,277/812,525 = 812,525/x
  3. Step 3: Cross multiply
    374,277x = 812,525 × 812,525
  4. Step 4: Simplify right side
    374,277x = 660,196,875,625
  5. Step 5: Solve for x
    x = 660,196,875,625/374,277
  6. Step 6: Final answer
    x = 1,763,925.85

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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.