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Finding the Third Proportional to 300,472.50 and 709,293

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Solution

The third proportional to 300,472.50 and 709,293 is: 1,674,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,472.50 : 709,293 = 709,293 : x
  2. Step 2: Convert to fraction form
    300,472.50/709,293 = 709,293/x
  3. Step 3: Cross multiply
    300,472.50x = 709,293 × 709,293
  4. Step 4: Simplify right side
    300,472.50x = 503,096,559,849
  5. Step 5: Solve for x
    x = 503,096,559,849/300,472.50
  6. Step 6: Final answer
    x = 1,674,351.43

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.