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Finding the Third Proportional to 504,046.50 and 798,523.50

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Solution

The third proportional to 504,046.50 and 798,523.50 is: 1,265,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,046.50 : 798,523.50 = 798,523.50 : x
  2. Step 2: Convert to fraction form
    504,046.50/798,523.50 = 798,523.50/x
  3. Step 3: Cross multiply
    504,046.50x = 798,523.50 × 798,523.50
  4. Step 4: Simplify right side
    504,046.50x = 637,639,780,052.25
  5. Step 5: Solve for x
    x = 637,639,780,052.25/504,046.50
  6. Step 6: Final answer
    x = 1,265,041.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.