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Finding the Third Proportional to 272,602.97 and 594,776.51

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Solution

The third proportional to 272,602.97 and 594,776.51 is: 1,297,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,602.97 : 594,776.51 = 594,776.51 : x
  2. Step 2: Convert to fraction form
    272,602.97/594,776.51 = 594,776.51/x
  3. Step 3: Cross multiply
    272,602.97x = 594,776.51 × 594,776.51
  4. Step 4: Simplify right side
    272,602.97x = 353,759,101,215.70
  5. Step 5: Solve for x
    x = 353,759,101,215.70/272,602.97
  6. Step 6: Final answer
    x = 1,297,708.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.