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Finding the Third Proportional to 284,618 and 446,463

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Solution

The third proportional to 284,618 and 446,463 is: 700,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,618 : 446,463 = 446,463 : x
  2. Step 2: Convert to fraction form
    284,618/446,463 = 446,463/x
  3. Step 3: Cross multiply
    284,618x = 446,463 × 446,463
  4. Step 4: Simplify right side
    284,618x = 199,329,210,369
  5. Step 5: Solve for x
    x = 199,329,210,369/284,618
  6. Step 6: Final answer
    x = 700,339.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.