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Finding the Third Proportional to 477,216.75 and 1,037,266.25

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Solution

The third proportional to 477,216.75 and 1,037,266.25 is: 2,254,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,216.75 : 1,037,266.25 = 1,037,266.25 : x
  2. Step 2: Convert to fraction form
    477,216.75/1,037,266.25 = 1,037,266.25/x
  3. Step 3: Cross multiply
    477,216.75x = 1,037,266.25 × 1,037,266.25
  4. Step 4: Simplify right side
    477,216.75x = 1,075,921,273,389.06
  5. Step 5: Solve for x
    x = 1,075,921,273,389.06/477,216.75
  6. Step 6: Final answer
    x = 2,254,575.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.