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Finding the Third Proportional to 358,912 and 521,664

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Solution

The third proportional to 358,912 and 521,664 is: 758,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,912 : 521,664 = 521,664 : x
  2. Step 2: Convert to fraction form
    358,912/521,664 = 521,664/x
  3. Step 3: Cross multiply
    358,912x = 521,664 × 521,664
  4. Step 4: Simplify right side
    358,912x = 272,133,328,896
  5. Step 5: Solve for x
    x = 272,133,328,896/358,912
  6. Step 6: Final answer
    x = 758,217.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.