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Finding the Third Proportional to 354,064 and 764,472

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Solution

The third proportional to 354,064 and 764,472 is: 1,650,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,064 : 764,472 = 764,472 : x
  2. Step 2: Convert to fraction form
    354,064/764,472 = 764,472/x
  3. Step 3: Cross multiply
    354,064x = 764,472 × 764,472
  4. Step 4: Simplify right side
    354,064x = 584,417,438,784
  5. Step 5: Solve for x
    x = 584,417,438,784/354,064
  6. Step 6: Final answer
    x = 1,650,598.31

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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.