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Finding the Third Proportional to 735,649.50 and 1,124,858.25

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Solution

The third proportional to 735,649.50 and 1,124,858.25 is: 1,719,984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,649.50 : 1,124,858.25 = 1,124,858.25 : x
  2. Step 2: Convert to fraction form
    735,649.50/1,124,858.25 = 1,124,858.25/x
  3. Step 3: Cross multiply
    735,649.50x = 1,124,858.25 × 1,124,858.25
  4. Step 4: Simplify right side
    735,649.50x = 1,265,306,082,593.06
  5. Step 5: Solve for x
    x = 1,265,306,082,593.06/735,649.50
  6. Step 6: Final answer
    x = 1,719,984.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.