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Finding the Third Proportional to 257,033 and 384,037

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Solution

The third proportional to 257,033 and 384,037 is: 573,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,033 : 384,037 = 384,037 : x
  2. Step 2: Convert to fraction form
    257,033/384,037 = 384,037/x
  3. Step 3: Cross multiply
    257,033x = 384,037 × 384,037
  4. Step 4: Simplify right side
    257,033x = 147,484,417,369
  5. Step 5: Solve for x
    x = 147,484,417,369/257,033
  6. Step 6: Final answer
    x = 573,795.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.