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Finding the Third Proportional to 744,401 and 973,353

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Solution

The third proportional to 744,401 and 973,353 is: 1,272,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,401 : 973,353 = 973,353 : x
  2. Step 2: Convert to fraction form
    744,401/973,353 = 973,353/x
  3. Step 3: Cross multiply
    744,401x = 973,353 × 973,353
  4. Step 4: Simplify right side
    744,401x = 947,416,062,609
  5. Step 5: Solve for x
    x = 947,416,062,609/744,401
  6. Step 6: Final answer
    x = 1,272,722.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.