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Finding the Third Proportional to 497,228 and 788,589

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Solution

The third proportional to 497,228 and 788,589 is: 1,250,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,228 : 788,589 = 788,589 : x
  2. Step 2: Convert to fraction form
    497,228/788,589 = 788,589/x
  3. Step 3: Cross multiply
    497,228x = 788,589 × 788,589
  4. Step 4: Simplify right side
    497,228x = 621,872,610,921
  5. Step 5: Solve for x
    x = 621,872,610,921/497,228
  6. Step 6: Final answer
    x = 1,250,678.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.