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Finding the Third Proportional to 755,749.50 and 1,129,592.25

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Solution

The third proportional to 755,749.50 and 1,129,592.25 is: 1,688,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,749.50 : 1,129,592.25 = 1,129,592.25 : x
  2. Step 2: Convert to fraction form
    755,749.50/1,129,592.25 = 1,129,592.25/x
  3. Step 3: Cross multiply
    755,749.50x = 1,129,592.25 × 1,129,592.25
  4. Step 4: Simplify right side
    755,749.50x = 1,275,978,651,260.06
  5. Step 5: Solve for x
    x = 1,275,978,651,260.06/755,749.50
  6. Step 6: Final answer
    x = 1,688,361.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.