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Finding the Third Proportional to 296,644 and 636,488

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Solution

The third proportional to 296,644 and 636,488 is: 1,365,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,644 : 636,488 = 636,488 : x
  2. Step 2: Convert to fraction form
    296,644/636,488 = 636,488/x
  3. Step 3: Cross multiply
    296,644x = 636,488 × 636,488
  4. Step 4: Simplify right side
    296,644x = 405,116,974,144
  5. Step 5: Solve for x
    x = 405,116,974,144/296,644
  6. Step 6: Final answer
    x = 1,365,667.18

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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.