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Finding the Third Proportional to 328,312.75 and 718,903.75

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Solution

The third proportional to 328,312.75 and 718,903.75 is: 1,574,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,312.75 : 718,903.75 = 718,903.75 : x
  2. Step 2: Convert to fraction form
    328,312.75/718,903.75 = 718,903.75/x
  3. Step 3: Cross multiply
    328,312.75x = 718,903.75 × 718,903.75
  4. Step 4: Simplify right side
    328,312.75x = 516,822,601,764.06
  5. Step 5: Solve for x
    x = 516,822,601,764.06/328,312.75
  6. Step 6: Final answer
    x = 1,574,177.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.