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Finding the Third Proportional to 385,822.69 and 550,358.44

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Solution

The third proportional to 385,822.69 and 550,358.44 is: 785,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,822.69 : 550,358.44 = 550,358.44 : x
  2. Step 2: Convert to fraction form
    385,822.69/550,358.44 = 550,358.44/x
  3. Step 3: Cross multiply
    385,822.69x = 550,358.44 × 550,358.44
  4. Step 4: Simplify right side
    385,822.69x = 302,894,409,727.44
  5. Step 5: Solve for x
    x = 302,894,409,727.44/385,822.69
  6. Step 6: Final answer
    x = 785,061.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.