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Finding the Third Proportional to 567,546 and 846,393

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Solution

The third proportional to 567,546 and 846,393 is: 1,262,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,546 : 846,393 = 846,393 : x
  2. Step 2: Convert to fraction form
    567,546/846,393 = 846,393/x
  3. Step 3: Cross multiply
    567,546x = 846,393 × 846,393
  4. Step 4: Simplify right side
    567,546x = 716,381,110,449
  5. Step 5: Solve for x
    x = 716,381,110,449/567,546
  6. Step 6: Final answer
    x = 1,262,243.26

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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.