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Finding the Third Proportional to 410,888 and 576,924

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Solution

The third proportional to 410,888 and 576,924 is: 810,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,888 : 576,924 = 576,924 : x
  2. Step 2: Convert to fraction form
    410,888/576,924 = 576,924/x
  3. Step 3: Cross multiply
    410,888x = 576,924 × 576,924
  4. Step 4: Simplify right side
    410,888x = 332,841,301,776
  5. Step 5: Solve for x
    x = 332,841,301,776/410,888
  6. Step 6: Final answer
    x = 810,053.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.