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Finding the Third Proportional to 317,267 and 467,128.50

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Solution

The third proportional to 317,267 and 467,128.50 is: 687,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,267 : 467,128.50 = 467,128.50 : x
  2. Step 2: Convert to fraction form
    317,267/467,128.50 = 467,128.50/x
  3. Step 3: Cross multiply
    317,267x = 467,128.50 × 467,128.50
  4. Step 4: Simplify right side
    317,267x = 218,209,035,512.25
  5. Step 5: Solve for x
    x = 218,209,035,512.25/317,267
  6. Step 6: Final answer
    x = 687,777.28

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