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Finding the Third Proportional to 410,360 and 613,896

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Solution

The third proportional to 410,360 and 613,896 is: 918,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,360 : 613,896 = 613,896 : x
  2. Step 2: Convert to fraction form
    410,360/613,896 = 613,896/x
  3. Step 3: Cross multiply
    410,360x = 613,896 × 613,896
  4. Step 4: Simplify right side
    410,360x = 376,868,298,816
  5. Step 5: Solve for x
    x = 376,868,298,816/410,360
  6. Step 6: Final answer
    x = 918,384.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.