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Finding the Third Proportional to 272,087 and 590,779

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Solution

The third proportional to 272,087 and 590,779 is: 1,282,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,087 : 590,779 = 590,779 : x
  2. Step 2: Convert to fraction form
    272,087/590,779 = 590,779/x
  3. Step 3: Cross multiply
    272,087x = 590,779 × 590,779
  4. Step 4: Simplify right side
    272,087x = 349,019,826,841
  5. Step 5: Solve for x
    x = 349,019,826,841/272,087
  6. Step 6: Final answer
    x = 1,282,750.84

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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.