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Finding the Third Proportional to 539,032 and 898,308

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Solution

The third proportional to 539,032 and 898,308 is: 1,497,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,032 : 898,308 = 898,308 : x
  2. Step 2: Convert to fraction form
    539,032/898,308 = 898,308/x
  3. Step 3: Cross multiply
    539,032x = 898,308 × 898,308
  4. Step 4: Simplify right side
    539,032x = 806,957,262,864
  5. Step 5: Solve for x
    x = 806,957,262,864/539,032
  6. Step 6: Final answer
    x = 1,497,048.90

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.