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Finding the Third Proportional to 301,824 and 637,920

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Solution

The third proportional to 301,824 and 637,920 is: 1,348,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,824 : 637,920 = 637,920 : x
  2. Step 2: Convert to fraction form
    301,824/637,920 = 637,920/x
  3. Step 3: Cross multiply
    301,824x = 637,920 × 637,920
  4. Step 4: Simplify right side
    301,824x = 406,941,926,400
  5. Step 5: Solve for x
    x = 406,941,926,400/301,824
  6. Step 6: Final answer
    x = 1,348,275.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.