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Finding the Third Proportional to 264,670.50 and 576,924

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Solution

The third proportional to 264,670.50 and 576,924 is: 1,257,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,670.50 : 576,924 = 576,924 : x
  2. Step 2: Convert to fraction form
    264,670.50/576,924 = 576,924/x
  3. Step 3: Cross multiply
    264,670.50x = 576,924 × 576,924
  4. Step 4: Simplify right side
    264,670.50x = 332,841,301,776
  5. Step 5: Solve for x
    x = 332,841,301,776/264,670.50
  6. Step 6: Final answer
    x = 1,257,568.57

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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.