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Finding the Third Proportional to 364,933.50 and 581,124.75

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Solution

The third proportional to 364,933.50 and 581,124.75 is: 925,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,933.50 : 581,124.75 = 581,124.75 : x
  2. Step 2: Convert to fraction form
    364,933.50/581,124.75 = 581,124.75/x
  3. Step 3: Cross multiply
    364,933.50x = 581,124.75 × 581,124.75
  4. Step 4: Simplify right side
    364,933.50x = 337,705,975,062.56
  5. Step 5: Solve for x
    x = 337,705,975,062.56/364,933.50
  6. Step 6: Final answer
    x = 925,390.45

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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.