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Finding the Third Proportional to 601,159 and 804,538

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Solution

The third proportional to 601,159 and 804,538 is: 1,076,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,159 : 804,538 = 804,538 : x
  2. Step 2: Convert to fraction form
    601,159/804,538 = 804,538/x
  3. Step 3: Cross multiply
    601,159x = 804,538 × 804,538
  4. Step 4: Simplify right side
    601,159x = 647,281,393,444
  5. Step 5: Solve for x
    x = 647,281,393,444/601,159
  6. Step 6: Final answer
    x = 1,076,722.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.