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Finding the Third Proportional to 242,759 and 529,987

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Solution

The third proportional to 242,759 and 529,987 is: 1,157,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,759 : 529,987 = 529,987 : x
  2. Step 2: Convert to fraction form
    242,759/529,987 = 529,987/x
  3. Step 3: Cross multiply
    242,759x = 529,987 × 529,987
  4. Step 4: Simplify right side
    242,759x = 280,886,220,169
  5. Step 5: Solve for x
    x = 280,886,220,169/242,759
  6. Step 6: Final answer
    x = 1,157,057.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.