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Finding the Third Proportional to 240,690.50 and 521,514.50

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Solution

The third proportional to 240,690.50 and 521,514.50 is: 1,129,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,690.50 : 521,514.50 = 521,514.50 : x
  2. Step 2: Convert to fraction form
    240,690.50/521,514.50 = 521,514.50/x
  3. Step 3: Cross multiply
    240,690.50x = 521,514.50 × 521,514.50
  4. Step 4: Simplify right side
    240,690.50x = 271,977,373,710.25
  5. Step 5: Solve for x
    x = 271,977,373,710.25/240,690.50
  6. Step 6: Final answer
    x = 1,129,987.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.