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Finding the Third Proportional to 272,370 and 598,488

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Solution

The third proportional to 272,370 and 598,488 is: 1,315,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,370 : 598,488 = 598,488 : x
  2. Step 2: Convert to fraction form
    272,370/598,488 = 598,488/x
  3. Step 3: Cross multiply
    272,370x = 598,488 × 598,488
  4. Step 4: Simplify right side
    272,370x = 358,187,886,144
  5. Step 5: Solve for x
    x = 358,187,886,144/272,370
  6. Step 6: Final answer
    x = 1,315,078.34

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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.