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Finding the Third Proportional to 377,217 and 798,012

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Solution

The third proportional to 377,217 and 798,012 is: 1,688,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,217 : 798,012 = 798,012 : x
  2. Step 2: Convert to fraction form
    377,217/798,012 = 798,012/x
  3. Step 3: Cross multiply
    377,217x = 798,012 × 798,012
  4. Step 4: Simplify right side
    377,217x = 636,823,152,144
  5. Step 5: Solve for x
    x = 636,823,152,144/377,217
  6. Step 6: Final answer
    x = 1,688,214.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.