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Finding the Third Proportional to 534,268 and 832,038

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Solution

The third proportional to 534,268 and 832,038 is: 1,295,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,268 : 832,038 = 832,038 : x
  2. Step 2: Convert to fraction form
    534,268/832,038 = 832,038/x
  3. Step 3: Cross multiply
    534,268x = 832,038 × 832,038
  4. Step 4: Simplify right side
    534,268x = 692,287,233,444
  5. Step 5: Solve for x
    x = 692,287,233,444/534,268
  6. Step 6: Final answer
    x = 1,295,767.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.