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Finding the Third Proportional to 239,697 and 521,658

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Solution

The third proportional to 239,697 and 521,658 is: 1,135,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,697 : 521,658 = 521,658 : x
  2. Step 2: Convert to fraction form
    239,697/521,658 = 521,658/x
  3. Step 3: Cross multiply
    239,697x = 521,658 × 521,658
  4. Step 4: Simplify right side
    239,697x = 272,127,068,964
  5. Step 5: Solve for x
    x = 272,127,068,964/239,697
  6. Step 6: Final answer
    x = 1,135,296.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.