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Finding the Third Proportional to 329,736.50 and 710,665

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Solution

The third proportional to 329,736.50 and 710,665 is: 1,531,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,736.50 : 710,665 = 710,665 : x
  2. Step 2: Convert to fraction form
    329,736.50/710,665 = 710,665/x
  3. Step 3: Cross multiply
    329,736.50x = 710,665 × 710,665
  4. Step 4: Simplify right side
    329,736.50x = 505,044,742,225
  5. Step 5: Solve for x
    x = 505,044,742,225/329,736.50
  6. Step 6: Final answer
    x = 1,531,661.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.