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Finding the Third Proportional to 580,613.63 and 802,302.75

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Solution

The third proportional to 580,613.63 and 802,302.75 is: 1,108,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,613.63 : 802,302.75 = 802,302.75 : x
  2. Step 2: Convert to fraction form
    580,613.63/802,302.75 = 802,302.75/x
  3. Step 3: Cross multiply
    580,613.63x = 802,302.75 × 802,302.75
  4. Step 4: Simplify right side
    580,613.63x = 643,689,702,657.56
  5. Step 5: Solve for x
    x = 643,689,702,657.56/580,613.63
  6. Step 6: Final answer
    x = 1,108,636.92

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