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Finding the Third Proportional to 564,850.69 and 860,506.88

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Solution

The third proportional to 564,850.69 and 860,506.88 is: 1,310,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,850.69 : 860,506.88 = 860,506.88 : x
  2. Step 2: Convert to fraction form
    564,850.69/860,506.88 = 860,506.88/x
  3. Step 3: Cross multiply
    564,850.69x = 860,506.88 × 860,506.88
  4. Step 4: Simplify right side
    564,850.69x = 740,472,081,922.27
  5. Step 5: Solve for x
    x = 740,472,081,922.27/564,850.69
  6. Step 6: Final answer
    x = 1,310,916.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.