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Finding the Third Proportional to 260,833.50 and 549,687

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Solution

The third proportional to 260,833.50 and 549,687 is: 1,158,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,833.50 : 549,687 = 549,687 : x
  2. Step 2: Convert to fraction form
    260,833.50/549,687 = 549,687/x
  3. Step 3: Cross multiply
    260,833.50x = 549,687 × 549,687
  4. Step 4: Simplify right side
    260,833.50x = 302,155,797,969
  5. Step 5: Solve for x
    x = 302,155,797,969/260,833.50
  6. Step 6: Final answer
    x = 1,158,424.04

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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.