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Finding the Third Proportional to 210,519 and 296,487

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Solution

The third proportional to 210,519 and 296,487 is: 417,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,519 : 296,487 = 296,487 : x
  2. Step 2: Convert to fraction form
    210,519/296,487 = 296,487/x
  3. Step 3: Cross multiply
    210,519x = 296,487 × 296,487
  4. Step 4: Simplify right side
    210,519x = 87,904,541,169
  5. Step 5: Solve for x
    x = 87,904,541,169/210,519
  6. Step 6: Final answer
    x = 417,561.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.