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Finding the Third Proportional to 379,672 and 549,924

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Solution

The third proportional to 379,672 and 549,924 is: 796,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,672 : 549,924 = 549,924 : x
  2. Step 2: Convert to fraction form
    379,672/549,924 = 549,924/x
  3. Step 3: Cross multiply
    379,672x = 549,924 × 549,924
  4. Step 4: Simplify right side
    379,672x = 302,416,405,776
  5. Step 5: Solve for x
    x = 302,416,405,776/379,672
  6. Step 6: Final answer
    x = 796,520.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.