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Finding the Third Proportional to 519,600 and 779,472

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Solution

The third proportional to 519,600 and 779,472 is: 1,169,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,600 : 779,472 = 779,472 : x
  2. Step 2: Convert to fraction form
    519,600/779,472 = 779,472/x
  3. Step 3: Cross multiply
    519,600x = 779,472 × 779,472
  4. Step 4: Simplify right side
    519,600x = 607,576,598,784
  5. Step 5: Solve for x
    x = 607,576,598,784/519,600
  6. Step 6: Final answer
    x = 1,169,316.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.