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Finding the Third Proportional to 407,818 and 599,827

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Solution

The third proportional to 407,818 and 599,827 is: 882,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,818 : 599,827 = 599,827 : x
  2. Step 2: Convert to fraction form
    407,818/599,827 = 599,827/x
  3. Step 3: Cross multiply
    407,818x = 599,827 × 599,827
  4. Step 4: Simplify right side
    407,818x = 359,792,429,929
  5. Step 5: Solve for x
    x = 359,792,429,929/407,818
  6. Step 6: Final answer
    x = 882,237.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.