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Finding the Third Proportional to 504,453.76 and 840,756.27

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Solution

The third proportional to 504,453.76 and 840,756.27 is: 1,401,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,453.76 : 840,756.27 = 840,756.27 : x
  2. Step 2: Convert to fraction form
    504,453.76/840,756.27 = 840,756.27/x
  3. Step 3: Cross multiply
    504,453.76x = 840,756.27 × 840,756.27
  4. Step 4: Simplify right side
    504,453.76x = 706,871,104,756.10
  5. Step 5: Solve for x
    x = 706,871,104,756.10/504,453.76
  6. Step 6: Final answer
    x = 1,401,260.45

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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.