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Finding the Third Proportional to 571,880.25 and 1,237,902.75

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Solution

The third proportional to 571,880.25 and 1,237,902.75 is: 2,679,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,880.25 : 1,237,902.75 = 1,237,902.75 : x
  2. Step 2: Convert to fraction form
    571,880.25/1,237,902.75 = 1,237,902.75/x
  3. Step 3: Cross multiply
    571,880.25x = 1,237,902.75 × 1,237,902.75
  4. Step 4: Simplify right side
    571,880.25x = 1,532,403,218,457.56
  5. Step 5: Solve for x
    x = 1,532,403,218,457.56/571,880.25
  6. Step 6: Final answer
    x = 2,679,587.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.