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Finding the Third Proportional to 317,584 and 505,532

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Solution

The third proportional to 317,584 and 505,532 is: 804,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,584 : 505,532 = 505,532 : x
  2. Step 2: Convert to fraction form
    317,584/505,532 = 505,532/x
  3. Step 3: Cross multiply
    317,584x = 505,532 × 505,532
  4. Step 4: Simplify right side
    317,584x = 255,562,603,024
  5. Step 5: Solve for x
    x = 255,562,603,024/317,584
  6. Step 6: Final answer
    x = 804,708.69

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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.