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Finding the Third Proportional to 338,925 and 722,886

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Solution

The third proportional to 338,925 and 722,886 is: 1,541,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,925 : 722,886 = 722,886 : x
  2. Step 2: Convert to fraction form
    338,925/722,886 = 722,886/x
  3. Step 3: Cross multiply
    338,925x = 722,886 × 722,886
  4. Step 4: Simplify right side
    338,925x = 522,564,168,996
  5. Step 5: Solve for x
    x = 522,564,168,996/338,925
  6. Step 6: Final answer
    x = 1,541,828.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.