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Finding the Third Proportional to 580,466.25 and 896,578.88

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Solution

The third proportional to 580,466.25 and 896,578.88 is: 1,384,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,466.25 : 896,578.88 = 896,578.88 : x
  2. Step 2: Convert to fraction form
    580,466.25/896,578.88 = 896,578.88/x
  3. Step 3: Cross multiply
    580,466.25x = 896,578.88 × 896,578.88
  4. Step 4: Simplify right side
    580,466.25x = 803,853,679,096.27
  5. Step 5: Solve for x
    x = 803,853,679,096.27/580,466.25
  6. Step 6: Final answer
    x = 1,384,841.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.