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Finding the Third Proportional to 357,897 and 771,834

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Solution

The third proportional to 357,897 and 771,834 is: 1,664,522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,897 : 771,834 = 771,834 : x
  2. Step 2: Convert to fraction form
    357,897/771,834 = 771,834/x
  3. Step 3: Cross multiply
    357,897x = 771,834 × 771,834
  4. Step 4: Simplify right side
    357,897x = 595,727,723,556
  5. Step 5: Solve for x
    x = 595,727,723,556/357,897
  6. Step 6: Final answer
    x = 1,664,522.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.