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Finding the Third Proportional to 597,296 and 924,834

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Solution

The third proportional to 597,296 and 924,834 is: 1,431,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,296 : 924,834 = 924,834 : x
  2. Step 2: Convert to fraction form
    597,296/924,834 = 924,834/x
  3. Step 3: Cross multiply
    597,296x = 924,834 × 924,834
  4. Step 4: Simplify right side
    597,296x = 855,317,927,556
  5. Step 5: Solve for x
    x = 855,317,927,556/597,296
  6. Step 6: Final answer
    x = 1,431,983.35

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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.