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Finding the Third Proportional to 260,627.63 and 571,078.69

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Solution

The third proportional to 260,627.63 and 571,078.69 is: 1,251,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,627.63 : 571,078.69 = 571,078.69 : x
  2. Step 2: Convert to fraction form
    260,627.63/571,078.69 = 571,078.69/x
  3. Step 3: Cross multiply
    260,627.63x = 571,078.69 × 571,078.69
  4. Step 4: Simplify right side
    260,627.63x = 326,130,867,316.72
  5. Step 5: Solve for x
    x = 326,130,867,316.72/260,627.63
  6. Step 6: Final answer
    x = 1,251,328.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.