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Finding the Third Proportional to 350,505 and 549,112.50

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Solution

The third proportional to 350,505 and 549,112.50 is: 860,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,505 : 549,112.50 = 549,112.50 : x
  2. Step 2: Convert to fraction form
    350,505/549,112.50 = 549,112.50/x
  3. Step 3: Cross multiply
    350,505x = 549,112.50 × 549,112.50
  4. Step 4: Simplify right side
    350,505x = 301,524,537,656.25
  5. Step 5: Solve for x
    x = 301,524,537,656.25/350,505
  6. Step 6: Final answer
    x = 860,257.45

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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.