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Finding the Third Proportional to 402,273 and 851,202

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Solution

The third proportional to 402,273 and 851,202 is: 1,801,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,273 : 851,202 = 851,202 : x
  2. Step 2: Convert to fraction form
    402,273/851,202 = 851,202/x
  3. Step 3: Cross multiply
    402,273x = 851,202 × 851,202
  4. Step 4: Simplify right side
    402,273x = 724,544,844,804
  5. Step 5: Solve for x
    x = 724,544,844,804/402,273
  6. Step 6: Final answer
    x = 1,801,127.21

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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.