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Finding the Third Proportional to 264,637 and 573,015

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Solution

The third proportional to 264,637 and 573,015 is: 1,240,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,637 : 573,015 = 573,015 : x
  2. Step 2: Convert to fraction form
    264,637/573,015 = 573,015/x
  3. Step 3: Cross multiply
    264,637x = 573,015 × 573,015
  4. Step 4: Simplify right side
    264,637x = 328,346,190,225
  5. Step 5: Solve for x
    x = 328,346,190,225/264,637
  6. Step 6: Final answer
    x = 1,240,741.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.