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Finding the Third Proportional to 268,695 and 579,347

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Solution

The third proportional to 268,695 and 579,347 is: 1,249,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,695 : 579,347 = 579,347 : x
  2. Step 2: Convert to fraction form
    268,695/579,347 = 579,347/x
  3. Step 3: Cross multiply
    268,695x = 579,347 × 579,347
  4. Step 4: Simplify right side
    268,695x = 335,642,946,409
  5. Step 5: Solve for x
    x = 335,642,946,409/268,695
  6. Step 6: Final answer
    x = 1,249,159.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.