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Finding the Third Proportional to 357,622 and 773,320

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Solution

The third proportional to 357,622 and 773,320 is: 1,672,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,622 : 773,320 = 773,320 : x
  2. Step 2: Convert to fraction form
    357,622/773,320 = 773,320/x
  3. Step 3: Cross multiply
    357,622x = 773,320 × 773,320
  4. Step 4: Simplify right side
    357,622x = 598,023,822,400
  5. Step 5: Solve for x
    x = 598,023,822,400/357,622
  6. Step 6: Final answer
    x = 1,672,223.25

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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.