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Finding the Third Proportional to 262,490 and 573,094

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Solution

The third proportional to 262,490 and 573,094 is: 1,251,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,490 : 573,094 = 573,094 : x
  2. Step 2: Convert to fraction form
    262,490/573,094 = 573,094/x
  3. Step 3: Cross multiply
    262,490x = 573,094 × 573,094
  4. Step 4: Simplify right side
    262,490x = 328,436,732,836
  5. Step 5: Solve for x
    x = 328,436,732,836/262,490
  6. Step 6: Final answer
    x = 1,251,235.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.