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Finding the Third Proportional to 415,881 and 594,729

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Solution

The third proportional to 415,881 and 594,729 is: 850,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,881 : 594,729 = 594,729 : x
  2. Step 2: Convert to fraction form
    415,881/594,729 = 594,729/x
  3. Step 3: Cross multiply
    415,881x = 594,729 × 594,729
  4. Step 4: Simplify right side
    415,881x = 353,702,583,441
  5. Step 5: Solve for x
    x = 353,702,583,441/415,881
  6. Step 6: Final answer
    x = 850,489.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.