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Finding the Third Proportional to 567,900 and 846,927

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Solution

The third proportional to 567,900 and 846,927 is: 1,263,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,900 : 846,927 = 846,927 : x
  2. Step 2: Convert to fraction form
    567,900/846,927 = 846,927/x
  3. Step 3: Cross multiply
    567,900x = 846,927 × 846,927
  4. Step 4: Simplify right side
    567,900x = 717,285,343,329
  5. Step 5: Solve for x
    x = 717,285,343,329/567,900
  6. Step 6: Final answer
    x = 1,263,048.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.