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Finding the Third Proportional to 561,353 and 858,868.50

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Solution

The third proportional to 561,353 and 858,868.50 is: 1,314,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,353 : 858,868.50 = 858,868.50 : x
  2. Step 2: Convert to fraction form
    561,353/858,868.50 = 858,868.50/x
  3. Step 3: Cross multiply
    561,353x = 858,868.50 × 858,868.50
  4. Step 4: Simplify right side
    561,353x = 737,655,100,292.25
  5. Step 5: Solve for x
    x = 737,655,100,292.25/561,353
  6. Step 6: Final answer
    x = 1,314,066.37

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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.