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Finding the Third Proportional to 400,656 and 599,712

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Solution

The third proportional to 400,656 and 599,712 is: 897,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,656 : 599,712 = 599,712 : x
  2. Step 2: Convert to fraction form
    400,656/599,712 = 599,712/x
  3. Step 3: Cross multiply
    400,656x = 599,712 × 599,712
  4. Step 4: Simplify right side
    400,656x = 359,654,482,944
  5. Step 5: Solve for x
    x = 359,654,482,944/400,656
  6. Step 6: Final answer
    x = 897,664.04

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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.