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Finding the Third Proportional to 479,465 and 727,946

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Solution

The third proportional to 479,465 and 727,946 is: 1,105,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,465 : 727,946 = 727,946 : x
  2. Step 2: Convert to fraction form
    479,465/727,946 = 727,946/x
  3. Step 3: Cross multiply
    479,465x = 727,946 × 727,946
  4. Step 4: Simplify right side
    479,465x = 529,905,378,916
  5. Step 5: Solve for x
    x = 529,905,378,916/479,465
  6. Step 6: Final answer
    x = 1,105,201.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.