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Finding the Third Proportional to 260,746 and 549,514

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Solution

The third proportional to 260,746 and 549,514 is: 1,158,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,746 : 549,514 = 549,514 : x
  2. Step 2: Convert to fraction form
    260,746/549,514 = 549,514/x
  3. Step 3: Cross multiply
    260,746x = 549,514 × 549,514
  4. Step 4: Simplify right side
    260,746x = 301,965,636,196
  5. Step 5: Solve for x
    x = 301,965,636,196/260,746
  6. Step 6: Final answer
    x = 1,158,083.48

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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.