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Finding the Third Proportional to 410,614.31 and 549,255.94

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Solution

The third proportional to 410,614.31 and 549,255.94 is: 734,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,614.31 : 549,255.94 = 549,255.94 : x
  2. Step 2: Convert to fraction form
    410,614.31/549,255.94 = 549,255.94/x
  3. Step 3: Cross multiply
    410,614.31x = 549,255.94 × 549,255.94
  4. Step 4: Simplify right side
    410,614.31x = 301,682,084,879.00
  5. Step 5: Solve for x
    x = 301,682,084,879.00/410,614.31
  6. Step 6: Final answer
    x = 734,709.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.