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Finding the Third Proportional to 317,201 and 467,039.50

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Solution

The third proportional to 317,201 and 467,039.50 is: 687,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,201 : 467,039.50 = 467,039.50 : x
  2. Step 2: Convert to fraction form
    317,201/467,039.50 = 467,039.50/x
  3. Step 3: Cross multiply
    317,201x = 467,039.50 × 467,039.50
  4. Step 4: Simplify right side
    317,201x = 218,125,894,560.25
  5. Step 5: Solve for x
    x = 218,125,894,560.25/317,201
  6. Step 6: Final answer
    x = 687,658.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.