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Finding the Third Proportional to 273,074 and 577,300

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Solution

The third proportional to 273,074 and 577,300 is: 1,220,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,074 : 577,300 = 577,300 : x
  2. Step 2: Convert to fraction form
    273,074/577,300 = 577,300/x
  3. Step 3: Cross multiply
    273,074x = 577,300 × 577,300
  4. Step 4: Simplify right side
    273,074x = 333,275,290,000
  5. Step 5: Solve for x
    x = 333,275,290,000/273,074
  6. Step 6: Final answer
    x = 1,220,457.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.