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Finding the Third Proportional to 273,577 and 437,046

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Solution

The third proportional to 273,577 and 437,046 is: 698,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,577 : 437,046 = 437,046 : x
  2. Step 2: Convert to fraction form
    273,577/437,046 = 437,046/x
  3. Step 3: Cross multiply
    273,577x = 437,046 × 437,046
  4. Step 4: Simplify right side
    273,577x = 191,009,206,116
  5. Step 5: Solve for x
    x = 191,009,206,116/273,577
  6. Step 6: Final answer
    x = 698,191.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.