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Finding the Third Proportional to 567,902 and 846,930

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Solution

The third proportional to 567,902 and 846,930 is: 1,263,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,902 : 846,930 = 846,930 : x
  2. Step 2: Convert to fraction form
    567,902/846,930 = 846,930/x
  3. Step 3: Cross multiply
    567,902x = 846,930 × 846,930
  4. Step 4: Simplify right side
    567,902x = 717,290,424,900
  5. Step 5: Solve for x
    x = 717,290,424,900/567,902
  6. Step 6: Final answer
    x = 1,263,053.18

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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.