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Finding the Third Proportional to 560,058 and 860,823

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Solution

The third proportional to 560,058 and 860,823 is: 1,323,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,058 : 860,823 = 860,823 : x
  2. Step 2: Convert to fraction form
    560,058/860,823 = 860,823/x
  3. Step 3: Cross multiply
    560,058x = 860,823 × 860,823
  4. Step 4: Simplify right side
    560,058x = 741,016,237,329
  5. Step 5: Solve for x
    x = 741,016,237,329/560,058
  6. Step 6: Final answer
    x = 1,323,106.24

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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.