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Finding the Third Proportional to 253,282 and 540,462

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Solution

The third proportional to 253,282 and 540,462 is: 1,153,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,282 : 540,462 = 540,462 : x
  2. Step 2: Convert to fraction form
    253,282/540,462 = 540,462/x
  3. Step 3: Cross multiply
    253,282x = 540,462 × 540,462
  4. Step 4: Simplify right side
    253,282x = 292,099,173,444
  5. Step 5: Solve for x
    x = 292,099,173,444/253,282
  6. Step 6: Final answer
    x = 1,153,256.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.