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Finding the Third Proportional to 364,050.75 and 569,839.50

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Solution

The third proportional to 364,050.75 and 569,839.50 is: 891,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,050.75 : 569,839.50 = 569,839.50 : x
  2. Step 2: Convert to fraction form
    364,050.75/569,839.50 = 569,839.50/x
  3. Step 3: Cross multiply
    364,050.75x = 569,839.50 × 569,839.50
  4. Step 4: Simplify right side
    364,050.75x = 324,717,055,760.25
  5. Step 5: Solve for x
    x = 324,717,055,760.25/364,050.75
  6. Step 6: Final answer
    x = 891,955.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.