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Finding the Third Proportional to 262,488 and 573,090

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Solution

The third proportional to 262,488 and 573,090 is: 1,251,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,488 : 573,090 = 573,090 : x
  2. Step 2: Convert to fraction form
    262,488/573,090 = 573,090/x
  3. Step 3: Cross multiply
    262,488x = 573,090 × 573,090
  4. Step 4: Simplify right side
    262,488x = 328,432,148,100
  5. Step 5: Solve for x
    x = 328,432,148,100/262,488
  6. Step 6: Final answer
    x = 1,251,227.29

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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.