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Finding the Third Proportional to 504,941.25 and 758,708.63

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Solution

The third proportional to 504,941.25 and 758,708.63 is: 1,140,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,941.25 : 758,708.63 = 758,708.63 : x
  2. Step 2: Convert to fraction form
    504,941.25/758,708.63 = 758,708.63/x
  3. Step 3: Cross multiply
    504,941.25x = 758,708.63 × 758,708.63
  4. Step 4: Simplify right side
    504,941.25x = 575,638,777,649.39
  5. Step 5: Solve for x
    x = 575,638,777,649.39/504,941.25
  6. Step 6: Final answer
    x = 1,140,011.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.