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Finding the Third Proportional to 557,346.19 and 854,009.25

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Solution

The third proportional to 557,346.19 and 854,009.25 is: 1,308,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,346.19 : 854,009.25 = 854,009.25 : x
  2. Step 2: Convert to fraction form
    557,346.19/854,009.25 = 854,009.25/x
  3. Step 3: Cross multiply
    557,346.19x = 854,009.25 × 854,009.25
  4. Step 4: Simplify right side
    557,346.19x = 729,331,799,085.56
  5. Step 5: Solve for x
    x = 729,331,799,085.56/557,346.19
  6. Step 6: Final answer
    x = 1,308,579.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.