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Finding the Third Proportional to 269,984 and 403,488

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Solution

The third proportional to 269,984 and 403,488 is: 603,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,984 : 403,488 = 403,488 : x
  2. Step 2: Convert to fraction form
    269,984/403,488 = 403,488/x
  3. Step 3: Cross multiply
    269,984x = 403,488 × 403,488
  4. Step 4: Simplify right side
    269,984x = 162,802,566,144
  5. Step 5: Solve for x
    x = 162,802,566,144/269,984
  6. Step 6: Final answer
    x = 603,008.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.