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Finding the Third Proportional to 260,841.50 and 549,702

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Solution

The third proportional to 260,841.50 and 549,702 is: 1,158,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,841.50 : 549,702 = 549,702 : x
  2. Step 2: Convert to fraction form
    260,841.50/549,702 = 549,702/x
  3. Step 3: Cross multiply
    260,841.50x = 549,702 × 549,702
  4. Step 4: Simplify right side
    260,841.50x = 302,172,288,804
  5. Step 5: Solve for x
    x = 302,172,288,804/260,841.50
  6. Step 6: Final answer
    x = 1,158,451.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.