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Finding the Third Proportional to 272,371 and 598,490

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Solution

The third proportional to 272,371 and 598,490 is: 1,315,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,371 : 598,490 = 598,490 : x
  2. Step 2: Convert to fraction form
    272,371/598,490 = 598,490/x
  3. Step 3: Cross multiply
    272,371x = 598,490 × 598,490
  4. Step 4: Simplify right side
    272,371x = 358,190,280,100
  5. Step 5: Solve for x
    x = 358,190,280,100/272,371
  6. Step 6: Final answer
    x = 1,315,082.30

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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.