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Finding the Third Proportional to 272,339 and 598,424

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Solution

The third proportional to 272,339 and 598,424 is: 1,314,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,339 : 598,424 = 598,424 : x
  2. Step 2: Convert to fraction form
    272,339/598,424 = 598,424/x
  3. Step 3: Cross multiply
    272,339x = 598,424 × 598,424
  4. Step 4: Simplify right side
    272,339x = 358,111,283,776
  5. Step 5: Solve for x
    x = 358,111,283,776/272,339
  6. Step 6: Final answer
    x = 1,314,946.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.