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Finding the Third Proportional to 268,693 and 579,343

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Solution

The third proportional to 268,693 and 579,343 is: 1,249,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,693 : 579,343 = 579,343 : x
  2. Step 2: Convert to fraction form
    268,693/579,343 = 579,343/x
  3. Step 3: Cross multiply
    268,693x = 579,343 × 579,343
  4. Step 4: Simplify right side
    268,693x = 335,638,311,649
  5. Step 5: Solve for x
    x = 335,638,311,649/268,693
  6. Step 6: Final answer
    x = 1,249,151.68

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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.