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Finding the Third Proportional to 504,462 and 840,768

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Solution

The third proportional to 504,462 and 840,768 is: 1,401,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,462 : 840,768 = 840,768 : x
  2. Step 2: Convert to fraction form
    504,462/840,768 = 840,768/x
  3. Step 3: Cross multiply
    504,462x = 840,768 × 840,768
  4. Step 4: Simplify right side
    504,462x = 706,890,829,824
  5. Step 5: Solve for x
    x = 706,890,829,824/504,462
  6. Step 6: Final answer
    x = 1,401,276.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.