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Finding the Third Proportional to 350,588.25 and 549,180

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Solution

The third proportional to 350,588.25 and 549,180 is: 860,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,588.25 : 549,180 = 549,180 : x
  2. Step 2: Convert to fraction form
    350,588.25/549,180 = 549,180/x
  3. Step 3: Cross multiply
    350,588.25x = 549,180 × 549,180
  4. Step 4: Simplify right side
    350,588.25x = 301,598,672,400
  5. Step 5: Solve for x
    x = 301,598,672,400/350,588.25
  6. Step 6: Final answer
    x = 860,264.63

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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.