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Finding the Third Proportional to 479,465.50 and 727,946.50

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Solution

The third proportional to 479,465.50 and 727,946.50 is: 1,105,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,465.50 : 727,946.50 = 727,946.50 : x
  2. Step 2: Convert to fraction form
    479,465.50/727,946.50 = 727,946.50/x
  3. Step 3: Cross multiply
    479,465.50x = 727,946.50 × 727,946.50
  4. Step 4: Simplify right side
    479,465.50x = 529,906,106,862.25
  5. Step 5: Solve for x
    x = 529,906,106,862.25/479,465.50
  6. Step 6: Final answer
    x = 1,105,201.74

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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.