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Finding the Third Proportional to 246,490 and 517,850

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Solution

The third proportional to 246,490 and 517,850 is: 1,087,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,490 : 517,850 = 517,850 : x
  2. Step 2: Convert to fraction form
    246,490/517,850 = 517,850/x
  3. Step 3: Cross multiply
    246,490x = 517,850 × 517,850
  4. Step 4: Simplify right side
    246,490x = 268,168,622,500
  5. Step 5: Solve for x
    x = 268,168,622,500/246,490
  6. Step 6: Final answer
    x = 1,087,949.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.