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Finding the Third Proportional to 368,484 and 764,664

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Solution

The third proportional to 368,484 and 764,664 is: 1,586,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,484 : 764,664 = 764,664 : x
  2. Step 2: Convert to fraction form
    368,484/764,664 = 764,664/x
  3. Step 3: Cross multiply
    368,484x = 764,664 × 764,664
  4. Step 4: Simplify right side
    368,484x = 584,711,032,896
  5. Step 5: Solve for x
    x = 584,711,032,896/368,484
  6. Step 6: Final answer
    x = 1,586,801.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.