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Finding the Third Proportional to 466,274 and 708,519

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Solution

The third proportional to 466,274 and 708,519 is: 1,076,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,274 : 708,519 = 708,519 : x
  2. Step 2: Convert to fraction form
    466,274/708,519 = 708,519/x
  3. Step 3: Cross multiply
    466,274x = 708,519 × 708,519
  4. Step 4: Simplify right side
    466,274x = 501,999,173,361
  5. Step 5: Solve for x
    x = 501,999,173,361/466,274
  6. Step 6: Final answer
    x = 1,076,618.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.