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Finding the Third Proportional to 253,560.38 and 549,402.75

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Solution

The third proportional to 253,560.38 and 549,402.75 is: 1,190,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,560.38 : 549,402.75 = 549,402.75 : x
  2. Step 2: Convert to fraction form
    253,560.38/549,402.75 = 549,402.75/x
  3. Step 3: Cross multiply
    253,560.38x = 549,402.75 × 549,402.75
  4. Step 4: Simplify right side
    253,560.38x = 301,843,381,707.56
  5. Step 5: Solve for x
    x = 301,843,381,707.56/253,560.38
  6. Step 6: Final answer
    x = 1,190,420.16

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Why These Related Problems?

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