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Finding the Third Proportional to 298,031 and 646,519

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Solution

The third proportional to 298,031 and 646,519 is: 1,402,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,031 : 646,519 = 646,519 : x
  2. Step 2: Convert to fraction form
    298,031/646,519 = 646,519/x
  3. Step 3: Cross multiply
    298,031x = 646,519 × 646,519
  4. Step 4: Simplify right side
    298,031x = 417,986,817,361
  5. Step 5: Solve for x
    x = 417,986,817,361/298,031
  6. Step 6: Final answer
    x = 1,402,494.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.