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Finding the Third Proportional to 339,145 and 524,897

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Solution

The third proportional to 339,145 and 524,897 is: 812,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,145 : 524,897 = 524,897 : x
  2. Step 2: Convert to fraction form
    339,145/524,897 = 524,897/x
  3. Step 3: Cross multiply
    339,145x = 524,897 × 524,897
  4. Step 4: Simplify right side
    339,145x = 275,516,860,609
  5. Step 5: Solve for x
    x = 275,516,860,609/339,145
  6. Step 6: Final answer
    x = 812,386.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.