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Finding the Third Proportional to 402,896 and 604,344

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Solution

The third proportional to 402,896 and 604,344 is: 906,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,896 : 604,344 = 604,344 : x
  2. Step 2: Convert to fraction form
    402,896/604,344 = 604,344/x
  3. Step 3: Cross multiply
    402,896x = 604,344 × 604,344
  4. Step 4: Simplify right side
    402,896x = 365,231,670,336
  5. Step 5: Solve for x
    x = 365,231,670,336/402,896
  6. Step 6: Final answer
    x = 906,516

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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.