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Finding the Third Proportional to 254,648.81 and 393,044.91

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Solution

The third proportional to 254,648.81 and 393,044.91 is: 606,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,648.81 : 393,044.91 = 393,044.91 : x
  2. Step 2: Convert to fraction form
    254,648.81/393,044.91 = 393,044.91/x
  3. Step 3: Cross multiply
    254,648.81x = 393,044.91 × 393,044.91
  4. Step 4: Simplify right side
    254,648.81x = 154,484,298,329.07
  5. Step 5: Solve for x
    x = 154,484,298,329.07/254,648.81
  6. Step 6: Final answer
    x = 606,656.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.