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Finding the Third Proportional to 350,456 and 549,036

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Solution

The third proportional to 350,456 and 549,036 is: 860,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,456 : 549,036 = 549,036 : x
  2. Step 2: Convert to fraction form
    350,456/549,036 = 549,036/x
  3. Step 3: Cross multiply
    350,456x = 549,036 × 549,036
  4. Step 4: Simplify right side
    350,456x = 301,440,529,296
  5. Step 5: Solve for x
    x = 301,440,529,296/350,456
  6. Step 6: Final answer
    x = 860,138.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.