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Finding the Third Proportional to 296,646 and 636,492

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Solution

The third proportional to 296,646 and 636,492 is: 1,365,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,646 : 636,492 = 636,492 : x
  2. Step 2: Convert to fraction form
    296,646/636,492 = 636,492/x
  3. Step 3: Cross multiply
    296,646x = 636,492 × 636,492
  4. Step 4: Simplify right side
    296,646x = 405,122,066,064
  5. Step 5: Solve for x
    x = 405,122,066,064/296,646
  6. Step 6: Final answer
    x = 1,365,675.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.