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Finding the Third Proportional to 392,735 and 604,412

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Solution

The third proportional to 392,735 and 604,412 is: 930,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,735 : 604,412 = 604,412 : x
  2. Step 2: Convert to fraction form
    392,735/604,412 = 604,412/x
  3. Step 3: Cross multiply
    392,735x = 604,412 × 604,412
  4. Step 4: Simplify right side
    392,735x = 365,313,865,744
  5. Step 5: Solve for x
    x = 365,313,865,744/392,735
  6. Step 6: Final answer
    x = 930,179.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.