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Finding the Third Proportional to 385,867 and 550,423

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Solution

The third proportional to 385,867 and 550,423 is: 785,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,867 : 550,423 = 550,423 : x
  2. Step 2: Convert to fraction form
    385,867/550,423 = 550,423/x
  3. Step 3: Cross multiply
    385,867x = 550,423 × 550,423
  4. Step 4: Simplify right side
    385,867x = 302,965,478,929
  5. Step 5: Solve for x
    x = 302,965,478,929/385,867
  6. Step 6: Final answer
    x = 785,155.19

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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.