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Finding the Third Proportional to 262,476 and 573,066

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Solution

The third proportional to 262,476 and 573,066 is: 1,251,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,476 : 573,066 = 573,066 : x
  2. Step 2: Convert to fraction form
    262,476/573,066 = 573,066/x
  3. Step 3: Cross multiply
    262,476x = 573,066 × 573,066
  4. Step 4: Simplify right side
    262,476x = 328,404,640,356
  5. Step 5: Solve for x
    x = 328,404,640,356/262,476
  6. Step 6: Final answer
    x = 1,251,179.69

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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.