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Finding the Third Proportional to 379,648 and 549,888

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Solution

The third proportional to 379,648 and 549,888 is: 796,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,648 : 549,888 = 549,888 : x
  2. Step 2: Convert to fraction form
    379,648/549,888 = 549,888/x
  3. Step 3: Cross multiply
    379,648x = 549,888 × 549,888
  4. Step 4: Simplify right side
    379,648x = 302,376,812,544
  5. Step 5: Solve for x
    x = 302,376,812,544/379,648
  6. Step 6: Final answer
    x = 796,466.23

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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.