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Finding the Third Proportional to 349,618 and 529,156

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Solution

The third proportional to 349,618 and 529,156 is: 800,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,618 : 529,156 = 529,156 : x
  2. Step 2: Convert to fraction form
    349,618/529,156 = 529,156/x
  3. Step 3: Cross multiply
    349,618x = 529,156 × 529,156
  4. Step 4: Simplify right side
    349,618x = 280,006,072,336
  5. Step 5: Solve for x
    x = 280,006,072,336/349,618
  6. Step 6: Final answer
    x = 800,891.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.