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Finding the Third Proportional to 374,818 and 548,169

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Solution

The third proportional to 374,818 and 548,169 is: 801,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,818 : 548,169 = 548,169 : x
  2. Step 2: Convert to fraction form
    374,818/548,169 = 548,169/x
  3. Step 3: Cross multiply
    374,818x = 548,169 × 548,169
  4. Step 4: Simplify right side
    374,818x = 300,489,252,561
  5. Step 5: Solve for x
    x = 300,489,252,561/374,818
  6. Step 6: Final answer
    x = 801,693.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.