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Finding the Third Proportional to 505,156.50 and 1,080,354

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Solution

The third proportional to 505,156.50 and 1,080,354 is: 2,310,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,156.50 : 1,080,354 = 1,080,354 : x
  2. Step 2: Convert to fraction form
    505,156.50/1,080,354 = 1,080,354/x
  3. Step 3: Cross multiply
    505,156.50x = 1,080,354 × 1,080,354
  4. Step 4: Simplify right side
    505,156.50x = 1,167,164,765,316
  5. Step 5: Solve for x
    x = 1,167,164,765,316/505,156.50
  6. Step 6: Final answer
    x = 2,310,501.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.