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Finding the Third Proportional to 621,829.13 and 960,229.69

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Solution

The third proportional to 621,829.13 and 960,229.69 is: 1,482,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,829.13 : 960,229.69 = 960,229.69 : x
  2. Step 2: Convert to fraction form
    621,829.13/960,229.69 = 960,229.69/x
  3. Step 3: Cross multiply
    621,829.13x = 960,229.69 × 960,229.69
  4. Step 4: Simplify right side
    621,829.13x = 922,041,052,756.35
  5. Step 5: Solve for x
    x = 922,041,052,756.35/621,829.13
  6. Step 6: Final answer
    x = 1,482,788.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.