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Finding the Third Proportional to 357,227 and 770,543

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Solution

The third proportional to 357,227 and 770,543 is: 1,662,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,227 : 770,543 = 770,543 : x
  2. Step 2: Convert to fraction form
    357,227/770,543 = 770,543/x
  3. Step 3: Cross multiply
    357,227x = 770,543 × 770,543
  4. Step 4: Simplify right side
    357,227x = 593,736,514,849
  5. Step 5: Solve for x
    x = 593,736,514,849/357,227
  6. Step 6: Final answer
    x = 1,662,070.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.