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Finding the Third Proportional to 259,250 and 549,316

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Solution

The third proportional to 259,250 and 549,316 is: 1,163,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,250 : 549,316 = 549,316 : x
  2. Step 2: Convert to fraction form
    259,250/549,316 = 549,316/x
  3. Step 3: Cross multiply
    259,250x = 549,316 × 549,316
  4. Step 4: Simplify right side
    259,250x = 301,748,067,856
  5. Step 5: Solve for x
    x = 301,748,067,856/259,250
  6. Step 6: Final answer
    x = 1,163,926.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.