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Finding the Third Proportional to 464,395 and 709,897

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Solution

The third proportional to 464,395 and 709,897 is: 1,085,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,395 : 709,897 = 709,897 : x
  2. Step 2: Convert to fraction form
    464,395/709,897 = 709,897/x
  3. Step 3: Cross multiply
    464,395x = 709,897 × 709,897
  4. Step 4: Simplify right side
    464,395x = 503,953,750,609
  5. Step 5: Solve for x
    x = 503,953,750,609/464,395
  6. Step 6: Final answer
    x = 1,085,183.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.