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Finding the Third Proportional to 587,528.44 and 933,780.66

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Solution

The third proportional to 587,528.44 and 933,780.66 is: 1,484,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,528.44 : 933,780.66 = 933,780.66 : x
  2. Step 2: Convert to fraction form
    587,528.44/933,780.66 = 933,780.66/x
  3. Step 3: Cross multiply
    587,528.44x = 933,780.66 × 933,780.66
  4. Step 4: Simplify right side
    587,528.44x = 871,946,313,986.68
  5. Step 5: Solve for x
    x = 871,946,313,986.68/587,528.44
  6. Step 6: Final answer
    x = 1,484,092.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.