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Finding the Third Proportional to 349,570.69 and 539,811.84

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Solution

The third proportional to 349,570.69 and 539,811.84 is: 833,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,570.69 : 539,811.84 = 539,811.84 : x
  2. Step 2: Convert to fraction form
    349,570.69/539,811.84 = 539,811.84/x
  3. Step 3: Cross multiply
    349,570.69x = 539,811.84 × 539,811.84
  4. Step 4: Simplify right side
    349,570.69x = 291,396,826,652.77
  5. Step 5: Solve for x
    x = 291,396,826,652.77/349,570.69
  6. Step 6: Final answer
    x = 833,584.84

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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.