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Finding the Third Proportional to 341,060 and 568,398

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Solution

The third proportional to 341,060 and 568,398 is: 947,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,060 : 568,398 = 568,398 : x
  2. Step 2: Convert to fraction form
    341,060/568,398 = 568,398/x
  3. Step 3: Cross multiply
    341,060x = 568,398 × 568,398
  4. Step 4: Simplify right side
    341,060x = 323,076,286,404
  5. Step 5: Solve for x
    x = 323,076,286,404/341,060
  6. Step 6: Final answer
    x = 947,271.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.