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Finding the Third Proportional to 317,570 and 493,851

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Solution

The third proportional to 317,570 and 493,851 is: 767,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,570 : 493,851 = 493,851 : x
  2. Step 2: Convert to fraction form
    317,570/493,851 = 493,851/x
  3. Step 3: Cross multiply
    317,570x = 493,851 × 493,851
  4. Step 4: Simplify right side
    317,570x = 243,888,810,201
  5. Step 5: Solve for x
    x = 243,888,810,201/317,570
  6. Step 6: Final answer
    x = 767,984.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.