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Finding the Third Proportional to 245,871 and 540,516

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Solution

The third proportional to 245,871 and 540,516 is: 1,188,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,871 : 540,516 = 540,516 : x
  2. Step 2: Convert to fraction form
    245,871/540,516 = 540,516/x
  3. Step 3: Cross multiply
    245,871x = 540,516 × 540,516
  4. Step 4: Simplify right side
    245,871x = 292,157,546,256
  5. Step 5: Solve for x
    x = 292,157,546,256/245,871
  6. Step 6: Final answer
    x = 1,188,255.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.