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Finding the Third Proportional to 272,369 and 598,486

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Solution

The third proportional to 272,369 and 598,486 is: 1,315,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,369 : 598,486 = 598,486 : x
  2. Step 2: Convert to fraction form
    272,369/598,486 = 598,486/x
  3. Step 3: Cross multiply
    272,369x = 598,486 × 598,486
  4. Step 4: Simplify right side
    272,369x = 358,185,492,196
  5. Step 5: Solve for x
    x = 358,185,492,196/272,369
  6. Step 6: Final answer
    x = 1,315,074.37

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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.