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Finding the Third Proportional to 320,287.50 and 470,790

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Solution

The third proportional to 320,287.50 and 470,790 is: 692,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,287.50 : 470,790 = 470,790 : x
  2. Step 2: Convert to fraction form
    320,287.50/470,790 = 470,790/x
  3. Step 3: Cross multiply
    320,287.50x = 470,790 × 470,790
  4. Step 4: Simplify right side
    320,287.50x = 221,643,224,100
  5. Step 5: Solve for x
    x = 221,643,224,100/320,287.50
  6. Step 6: Final answer
    x = 692,013.34

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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.