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Finding the Third Proportional to 448,492 and 674,628

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Solution

The third proportional to 448,492 and 674,628 is: 1,014,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,492 : 674,628 = 674,628 : x
  2. Step 2: Convert to fraction form
    448,492/674,628 = 674,628/x
  3. Step 3: Cross multiply
    448,492x = 674,628 × 674,628
  4. Step 4: Simplify right side
    448,492x = 455,122,938,384
  5. Step 5: Solve for x
    x = 455,122,938,384/448,492
  6. Step 6: Final answer
    x = 1,014,784.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.