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Finding the Third Proportional to 506,301.75 and 1,080,402.75

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Solution

The third proportional to 506,301.75 and 1,080,402.75 is: 2,305,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,301.75 : 1,080,402.75 = 1,080,402.75 : x
  2. Step 2: Convert to fraction form
    506,301.75/1,080,402.75 = 1,080,402.75/x
  3. Step 3: Cross multiply
    506,301.75x = 1,080,402.75 × 1,080,402.75
  4. Step 4: Simplify right side
    506,301.75x = 1,167,270,102,207.56
  5. Step 5: Solve for x
    x = 1,167,270,102,207.56/506,301.75
  6. Step 6: Final answer
    x = 2,305,483.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.