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Finding the Third Proportional to 327,402 and 705,186

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Solution

The third proportional to 327,402 and 705,186 is: 1,518,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,402 : 705,186 = 705,186 : x
  2. Step 2: Convert to fraction form
    327,402/705,186 = 705,186/x
  3. Step 3: Cross multiply
    327,402x = 705,186 × 705,186
  4. Step 4: Simplify right side
    327,402x = 497,287,294,596
  5. Step 5: Solve for x
    x = 497,287,294,596/327,402
  6. Step 6: Final answer
    x = 1,518,888.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.