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Finding the Third Proportional to 357,756 and 725,892

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Solution

The third proportional to 357,756 and 725,892 is: 1,472,845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,756 : 725,892 = 725,892 : x
  2. Step 2: Convert to fraction form
    357,756/725,892 = 725,892/x
  3. Step 3: Cross multiply
    357,756x = 725,892 × 725,892
  4. Step 4: Simplify right side
    357,756x = 526,919,195,664
  5. Step 5: Solve for x
    x = 526,919,195,664/357,756
  6. Step 6: Final answer
    x = 1,472,845.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.