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Finding the Third Proportional to 270,046.50 and 581,643

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Solution

The third proportional to 270,046.50 and 581,643 is: 1,252,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,046.50 : 581,643 = 581,643 : x
  2. Step 2: Convert to fraction form
    270,046.50/581,643 = 581,643/x
  3. Step 3: Cross multiply
    270,046.50x = 581,643 × 581,643
  4. Step 4: Simplify right side
    270,046.50x = 338,308,579,449
  5. Step 5: Solve for x
    x = 338,308,579,449/270,046.50
  6. Step 6: Final answer
    x = 1,252,778.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.