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Finding the Third Proportional to 410,448 and 616,860

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Solution

The third proportional to 410,448 and 616,860 is: 927,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,448 : 616,860 = 616,860 : x
  2. Step 2: Convert to fraction form
    410,448/616,860 = 616,860/x
  3. Step 3: Cross multiply
    410,448x = 616,860 × 616,860
  4. Step 4: Simplify right side
    410,448x = 380,516,259,600
  5. Step 5: Solve for x
    x = 380,516,259,600/410,448
  6. Step 6: Final answer
    x = 927,075.44

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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.