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Finding the Third Proportional to 328,316.63 and 714,129.75

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Solution

The third proportional to 328,316.63 and 714,129.75 is: 1,553,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,316.63 : 714,129.75 = 714,129.75 : x
  2. Step 2: Convert to fraction form
    328,316.63/714,129.75 = 714,129.75/x
  3. Step 3: Cross multiply
    328,316.63x = 714,129.75 × 714,129.75
  4. Step 4: Simplify right side
    328,316.63x = 509,981,299,835.06
  5. Step 5: Solve for x
    x = 509,981,299,835.06/328,316.63
  6. Step 6: Final answer
    x = 1,553,321.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.