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Finding the Third Proportional to 561,770 and 794,888

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Solution

The third proportional to 561,770 and 794,888 is: 1,124,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,770 : 794,888 = 794,888 : x
  2. Step 2: Convert to fraction form
    561,770/794,888 = 794,888/x
  3. Step 3: Cross multiply
    561,770x = 794,888 × 794,888
  4. Step 4: Simplify right side
    561,770x = 631,846,932,544
  5. Step 5: Solve for x
    x = 631,846,932,544/561,770
  6. Step 6: Final answer
    x = 1,124,743.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.