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Finding the Third Proportional to 207,018 and 443,547

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Solution

The third proportional to 207,018 and 443,547 is: 950,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,018 : 443,547 = 443,547 : x
  2. Step 2: Convert to fraction form
    207,018/443,547 = 443,547/x
  3. Step 3: Cross multiply
    207,018x = 443,547 × 443,547
  4. Step 4: Simplify right side
    207,018x = 196,733,941,209
  5. Step 5: Solve for x
    x = 196,733,941,209/207,018
  6. Step 6: Final answer
    x = 950,322.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.