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Finding the Third Proportional to 257,618 and 378,964

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Solution

The third proportional to 257,618 and 378,964 is: 557,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,618 : 378,964 = 378,964 : x
  2. Step 2: Convert to fraction form
    257,618/378,964 = 378,964/x
  3. Step 3: Cross multiply
    257,618x = 378,964 × 378,964
  4. Step 4: Simplify right side
    257,618x = 143,613,713,296
  5. Step 5: Solve for x
    x = 143,613,713,296/257,618
  6. Step 6: Final answer
    x = 557,467.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.