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Finding the Third Proportional to 580,609.69 and 802,296.56

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Solution

The third proportional to 580,609.69 and 802,296.56 is: 1,108,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,609.69 : 802,296.56 = 802,296.56 : x
  2. Step 2: Convert to fraction form
    580,609.69/802,296.56 = 802,296.56/x
  3. Step 3: Cross multiply
    580,609.69x = 802,296.56 × 802,296.56
  4. Step 4: Simplify right side
    580,609.69x = 643,679,774,199.32
  5. Step 5: Solve for x
    x = 643,679,774,199.32/580,609.69
  6. Step 6: Final answer
    x = 1,108,627.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.