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Finding the Third Proportional to 504,002 and 799,317.75

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Solution

The third proportional to 504,002 and 799,317.75 is: 1,267,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,002 : 799,317.75 = 799,317.75 : x
  2. Step 2: Convert to fraction form
    504,002/799,317.75 = 799,317.75/x
  3. Step 3: Cross multiply
    504,002x = 799,317.75 × 799,317.75
  4. Step 4: Simplify right side
    504,002x = 638,908,865,465.06
  5. Step 5: Solve for x
    x = 638,908,865,465.06/504,002
  6. Step 6: Final answer
    x = 1,267,671.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.