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Finding the Third Proportional to 254,742 and 539,829

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Solution

The third proportional to 254,742 and 539,829 is: 1,143,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,742 : 539,829 = 539,829 : x
  2. Step 2: Convert to fraction form
    254,742/539,829 = 539,829/x
  3. Step 3: Cross multiply
    254,742x = 539,829 × 539,829
  4. Step 4: Simplify right side
    254,742x = 291,415,349,241
  5. Step 5: Solve for x
    x = 291,415,349,241/254,742
  6. Step 6: Final answer
    x = 1,143,962.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.