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Finding the Third Proportional to 257,684 and 385,332

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Solution

The third proportional to 257,684 and 385,332 is: 576,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,684 : 385,332 = 385,332 : x
  2. Step 2: Convert to fraction form
    257,684/385,332 = 385,332/x
  3. Step 3: Cross multiply
    257,684x = 385,332 × 385,332
  4. Step 4: Simplify right side
    257,684x = 148,480,750,224
  5. Step 5: Solve for x
    x = 148,480,750,224/257,684
  6. Step 6: Final answer
    x = 576,212.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.