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Finding the Third Proportional to 354,470 and 764,596

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Solution

The third proportional to 354,470 and 764,596 is: 1,649,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,470 : 764,596 = 764,596 : x
  2. Step 2: Convert to fraction form
    354,470/764,596 = 764,596/x
  3. Step 3: Cross multiply
    354,470x = 764,596 × 764,596
  4. Step 4: Simplify right side
    354,470x = 584,607,043,216
  5. Step 5: Solve for x
    x = 584,607,043,216/354,470
  6. Step 6: Final answer
    x = 1,649,242.65

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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.