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Finding the Third Proportional to 268,785 and 577,416.94

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Solution

The third proportional to 268,785 and 577,416.94 is: 1,240,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,785 : 577,416.94 = 577,416.94 : x
  2. Step 2: Convert to fraction form
    268,785/577,416.94 = 577,416.94/x
  3. Step 3: Cross multiply
    268,785x = 577,416.94 × 577,416.94
  4. Step 4: Simplify right side
    268,785x = 333,410,319,711.88
  5. Step 5: Solve for x
    x = 333,410,319,711.88/268,785
  6. Step 6: Final answer
    x = 1,240,434.99

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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.